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Finding the Fourth Proportional to 64,856.92, 96,988.92 and 47,147.08

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Solution

The fourth proportional to 64,856.92, 96,988.92 and 47,147.08 is: 70,505.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,856.92 : 96,988.92 = 47,147.08 : x
  2. Step 2: Convert to fraction form
    64,856.92/96,988.92 = 47,147.08/x
  3. Step 3: Cross multiply
    64,856.92x = 96,988.92 × 47,147.08
  4. Step 4: Simplify right side
    64,856.92x = 4,572,744,370.35
  5. Step 5: Solve for x
    x = 4,572,744,370.35/64,856.92
  6. Step 6: Final answer
    x = 70,505.11

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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.