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Finding the Fourth Proportional to 55,842, 77,062.08 and 30,691.68

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Solution

The fourth proportional to 55,842, 77,062.08 and 30,691.68 is: 42,354.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,842 : 77,062.08 = 30,691.68 : x
  2. Step 2: Convert to fraction form
    55,842/77,062.08 = 30,691.68/x
  3. Step 3: Cross multiply
    55,842x = 77,062.08 × 30,691.68
  4. Step 4: Simplify right side
    55,842x = 2,365,164,699.49
  5. Step 5: Solve for x
    x = 2,365,164,699.49/55,842
  6. Step 6: Final answer
    x = 42,354.58

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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.