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Finding the Fourth Proportional to 70,911.75, 97,856.90 and 38,646.63

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Solution

The fourth proportional to 70,911.75, 97,856.90 and 38,646.63 is: 53,331.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,911.75 : 97,856.90 = 38,646.63 : x
  2. Step 2: Convert to fraction form
    70,911.75/97,856.90 = 38,646.63/x
  3. Step 3: Cross multiply
    70,911.75x = 97,856.90 × 38,646.63
  4. Step 4: Simplify right side
    70,911.75x = 3,781,839,407.25
  5. Step 5: Solve for x
    x = 3,781,839,407.25/70,911.75
  6. Step 6: Final answer
    x = 53,331.63

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1.5x scale

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.