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Finding the Fourth Proportional to 70,730.86, 97,609.24 and 38,465.78

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Solution

The fourth proportional to 70,730.86, 97,609.24 and 38,465.78 is: 53,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,730.86 : 97,609.24 = 38,465.78 : x
  2. Step 2: Convert to fraction form
    70,730.86/97,609.24 = 38,465.78/x
  3. Step 3: Cross multiply
    70,730.86x = 97,609.24 × 38,465.78
  4. Step 4: Simplify right side
    70,730.86x = 3,754,615,416.46
  5. Step 5: Solve for x
    x = 3,754,615,416.46/70,730.86
  6. Step 6: Final answer
    x = 53,083.13

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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.