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Finding the Fourth Proportional to 78,035.40, 116,969.94 and 40,557.71

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Solution

The fourth proportional to 78,035.40, 116,969.94 and 40,557.71 is: 60,793.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,035.40 : 116,969.94 = 40,557.71 : x
  2. Step 2: Convert to fraction form
    78,035.40/116,969.94 = 40,557.71/x
  3. Step 3: Cross multiply
    78,035.40x = 116,969.94 × 40,557.71
  4. Step 4: Simplify right side
    78,035.40x = 4,744,033,197.66
  5. Step 5: Solve for x
    x = 4,744,033,197.66/78,035.40
  6. Step 6: Final answer
    x = 60,793.35

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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.