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Finding the Fourth Proportional to 78,227.40, 117,289.25 and 28,301

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Solution

The fourth proportional to 78,227.40, 117,289.25 and 28,301 is: 42,432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,227.40 : 117,289.25 = 28,301 : x
  2. Step 2: Convert to fraction form
    78,227.40/117,289.25 = 28,301/x
  3. Step 3: Cross multiply
    78,227.40x = 117,289.25 × 28,301
  4. Step 4: Simplify right side
    78,227.40x = 3,319,402,922.75
  5. Step 5: Solve for x
    x = 3,319,402,922.75/78,227.40
  6. Step 6: Final answer
    x = 42,432.74

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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.