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Finding the Fourth Proportional to 70,688.10, 97,549 and 38,856.66

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Solution

The fourth proportional to 70,688.10, 97,549 and 38,856.66 is: 53,621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,688.10 : 97,549 = 38,856.66 : x
  2. Step 2: Convert to fraction form
    70,688.10/97,549 = 38,856.66/x
  3. Step 3: Cross multiply
    70,688.10x = 97,549 × 38,856.66
  4. Step 4: Simplify right side
    70,688.10x = 3,790,428,326.34
  5. Step 5: Solve for x
    x = 3,790,428,326.34/70,688.10
  6. Step 6: Final answer
    x = 53,621.87

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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.