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Finding the Fourth Proportional to 78,411.68, 108,207.54 and 42,601.98

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Solution

The fourth proportional to 78,411.68, 108,207.54 and 42,601.98 is: 58,790.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,411.68 : 108,207.54 = 42,601.98 : x
  2. Step 2: Convert to fraction form
    78,411.68/108,207.54 = 42,601.98/x
  3. Step 3: Cross multiply
    78,411.68x = 108,207.54 × 42,601.98
  4. Step 4: Simplify right side
    78,411.68x = 4,609,855,454.93
  5. Step 5: Solve for x
    x = 4,609,855,454.93/78,411.68
  6. Step 6: Final answer
    x = 58,790.42

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