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Finding the Fourth Proportional to 103,749.92, 155,643.12 and 42,959.52

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Solution

The fourth proportional to 103,749.92, 155,643.12 and 42,959.52 is: 64,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,749.92 : 155,643.12 = 42,959.52 : x
  2. Step 2: Convert to fraction form
    103,749.92/155,643.12 = 42,959.52/x
  3. Step 3: Cross multiply
    103,749.92x = 155,643.12 × 42,959.52
  4. Step 4: Simplify right side
    103,749.92x = 6,686,353,726.50
  5. Step 5: Solve for x
    x = 6,686,353,726.50/103,749.92
  6. Step 6: Final answer
    x = 64,446.83

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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.