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Finding the Fourth Proportional to 70,696, 97,562.76 and 38,867.20

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Solution

The fourth proportional to 70,696, 97,562.76 and 38,867.20 is: 53,637.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,696 : 97,562.76 = 38,867.20 : x
  2. Step 2: Convert to fraction form
    70,696/97,562.76 = 38,867.20/x
  3. Step 3: Cross multiply
    70,696x = 97,562.76 × 38,867.20
  4. Step 4: Simplify right side
    70,696x = 3,791,991,305.47
  5. Step 5: Solve for x
    x = 3,791,991,305.47/70,696
  6. Step 6: Final answer
    x = 53,637.99

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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.