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Finding the Fourth Proportional to 78,681.16, 118,109.22 and 77,456.44

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Solution

The fourth proportional to 78,681.16, 118,109.22 and 77,456.44 is: 116,270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,681.16 : 118,109.22 = 77,456.44 : x
  2. Step 2: Convert to fraction form
    78,681.16/118,109.22 = 77,456.44/x
  3. Step 3: Cross multiply
    78,681.16x = 118,109.22 × 77,456.44
  4. Step 4: Simplify right side
    78,681.16x = 9,148,319,712.38
  5. Step 5: Solve for x
    x = 9,148,319,712.38/78,681.16
  6. Step 6: Final answer
    x = 116,270.78

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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.