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Finding the Fourth Proportional to 70,911.59, 97,856.73 and 38,646.50

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Solution

The fourth proportional to 70,911.59, 97,856.73 and 38,646.50 is: 53,331.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,911.59 : 97,856.73 = 38,646.50 : x
  2. Step 2: Convert to fraction form
    70,911.59/97,856.73 = 38,646.50/x
  3. Step 3: Cross multiply
    70,911.59x = 97,856.73 × 38,646.50
  4. Step 4: Simplify right side
    70,911.59x = 3,781,820,115.95
  5. Step 5: Solve for x
    x = 3,781,820,115.95/70,911.59
  6. Step 6: Final answer
    x = 53,331.48

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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.