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Finding the Fourth Proportional to 78,354.29, 117,535.53 and 59,663.64

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Solution

The fourth proportional to 78,354.29, 117,535.53 and 59,663.64 is: 89,498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,354.29 : 117,535.53 = 59,663.64 : x
  2. Step 2: Convert to fraction form
    78,354.29/117,535.53 = 59,663.64/x
  3. Step 3: Cross multiply
    78,354.29x = 117,535.53 × 59,663.64
  4. Step 4: Simplify right side
    78,354.29x = 7,012,596,961.45
  5. Step 5: Solve for x
    x = 7,012,596,961.45/78,354.29
  6. Step 6: Final answer
    x = 89,498.58

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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.