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Finding the Fourth Proportional to 70,741.68, 97,623.54 and 38,909.76

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Solution

The fourth proportional to 70,741.68, 97,623.54 and 38,909.76 is: 53,695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,741.68 : 97,623.54 = 38,909.76 : x
  2. Step 2: Convert to fraction form
    70,741.68/97,623.54 = 38,909.76/x
  3. Step 3: Cross multiply
    70,741.68x = 97,623.54 × 38,909.76
  4. Step 4: Simplify right side
    70,741.68x = 3,798,508,511.75
  5. Step 5: Solve for x
    x = 3,798,508,511.75/70,741.68
  6. Step 6: Final answer
    x = 53,695.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.