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Finding the Fourth Proportional to 78,491.40, 117,737.10 and 71,602.35

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Solution

The fourth proportional to 78,491.40, 117,737.10 and 71,602.35 is: 107,403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,491.40 : 117,737.10 = 71,602.35 : x
  2. Step 2: Convert to fraction form
    78,491.40/117,737.10 = 71,602.35/x
  3. Step 3: Cross multiply
    78,491.40x = 117,737.10 × 71,602.35
  4. Step 4: Simplify right side
    78,491.40x = 8,430,253,042.19
  5. Step 5: Solve for x
    x = 8,430,253,042.19/78,491.40
  6. Step 6: Final answer
    x = 107,403.53

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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.