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Finding the Fourth Proportional to 78,368.68, 108,145.80 and 42,557.92

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Solution

The fourth proportional to 78,368.68, 108,145.80 and 42,557.92 is: 58,728.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,368.68 : 108,145.80 = 42,557.92 : x
  2. Step 2: Convert to fraction form
    78,368.68/108,145.80 = 42,557.92/x
  3. Step 3: Cross multiply
    78,368.68x = 108,145.80 × 42,557.92
  4. Step 4: Simplify right side
    78,368.68x = 4,602,460,304.74
  5. Step 5: Solve for x
    x = 4,602,460,304.74/78,368.68
  6. Step 6: Final answer
    x = 58,728.31

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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.