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Finding the Fourth Proportional to 78,156, 107,854.65 and 42,345.90

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Solution

The fourth proportional to 78,156, 107,854.65 and 42,345.90 is: 58,437.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,156 : 107,854.65 = 42,345.90 : x
  2. Step 2: Convert to fraction form
    78,156/107,854.65 = 42,345.90/x
  3. Step 3: Cross multiply
    78,156x = 107,854.65 × 42,345.90
  4. Step 4: Simplify right side
    78,156x = 4,567,202,223.44
  5. Step 5: Solve for x
    x = 4,567,202,223.44/78,156
  6. Step 6: Final answer
    x = 58,437.00

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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.