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Finding the Fourth Proportional to 97,306.82, 144,992.94 and 86,695.31

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Solution

The fourth proportional to 97,306.82, 144,992.94 and 86,695.31 is: 129,181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,306.82 : 144,992.94 = 86,695.31 : x
  2. Step 2: Convert to fraction form
    97,306.82/144,992.94 = 86,695.31/x
  3. Step 3: Cross multiply
    97,306.82x = 144,992.94 × 86,695.31
  4. Step 4: Simplify right side
    97,306.82x = 12,570,207,918.49
  5. Step 5: Solve for x
    x = 12,570,207,918.49/97,306.82
  6. Step 6: Final answer
    x = 129,181.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.