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Finding the Fourth Proportional to 78,289,920.40, 117,434,880.60 and 78,289,920.40

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Solution

The fourth proportional to 78,289,920.40, 117,434,880.60 and 78,289,920.40 is: 117,434,880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,289,920.40 : 117,434,880.60 = 78,289,920.40 : x
  2. Step 2: Convert to fraction form
    78,289,920.40/117,434,880.60 = 78,289,920.40/x
  3. Step 3: Cross multiply
    78,289,920.40x = 117,434,880.60 × 78,289,920.40
  4. Step 4: Simplify right side
    78,289,920.40x = 9,193,967,454,357,504
  5. Step 5: Solve for x
    x = 9,193,967,454,357,504/78,289,920.40
  6. Step 6: Final answer
    x = 117,434,880.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.