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Finding the Fourth Proportional to 51,969.40, 77,838.90 and 40,244.60

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Solution

The fourth proportional to 51,969.40, 77,838.90 and 40,244.60 is: 60,277.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,969.40 : 77,838.90 = 40,244.60 : x
  2. Step 2: Convert to fraction form
    51,969.40/77,838.90 = 40,244.60/x
  3. Step 3: Cross multiply
    51,969.40x = 77,838.90 × 40,244.60
  4. Step 4: Simplify right side
    51,969.40x = 3,132,595,394.94
  5. Step 5: Solve for x
    x = 3,132,595,394.94/51,969.40
  6. Step 6: Final answer
    x = 60,277.69

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1.5x scale

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.