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Finding the Fourth Proportional to 78,166.61, 107,870.30 and 42,356.61

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Solution

The fourth proportional to 78,166.61, 107,870.30 and 42,356.61 is: 58,452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,166.61 : 107,870.30 = 42,356.61 : x
  2. Step 2: Convert to fraction form
    78,166.61/107,870.30 = 42,356.61/x
  3. Step 3: Cross multiply
    78,166.61x = 107,870.30 × 42,356.61
  4. Step 4: Simplify right side
    78,166.61x = 4,569,020,227.68
  5. Step 5: Solve for x
    x = 4,569,020,227.68/78,166.61
  6. Step 6: Final answer
    x = 58,452.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.