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Finding the Fourth Proportional to 78,354.64, 117,501.32 and 28,419.76

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Solution

The fourth proportional to 78,354.64, 117,501.32 and 28,419.76 is: 42,618.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,354.64 : 117,501.32 = 28,419.76 : x
  2. Step 2: Convert to fraction form
    78,354.64/117,501.32 = 28,419.76/x
  3. Step 3: Cross multiply
    78,354.64x = 117,501.32 × 28,419.76
  4. Step 4: Simplify right side
    78,354.64x = 3,339,359,314.08
  5. Step 5: Solve for x
    x = 3,339,359,314.08/78,354.64
  6. Step 6: Final answer
    x = 42,618.53

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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.