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Finding the Fourth Proportional to 107,178.78, 147,901.86 and 61,864.86

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Solution

The fourth proportional to 107,178.78, 147,901.86 and 61,864.86 is: 85,370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,178.78 : 147,901.86 = 61,864.86 : x
  2. Step 2: Convert to fraction form
    107,178.78/147,901.86 = 61,864.86/x
  3. Step 3: Cross multiply
    107,178.78x = 147,901.86 × 61,864.86
  4. Step 4: Simplify right side
    107,178.78x = 9,149,927,862.64
  5. Step 5: Solve for x
    x = 9,149,927,862.64/107,178.78
  6. Step 6: Final answer
    x = 85,370.70

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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.