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Finding the Fourth Proportional to 70,806.39, 97,722.14 and 42,513.90

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Solution

The fourth proportional to 70,806.39, 97,722.14 and 42,513.90 is: 58,674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,806.39 : 97,722.14 = 42,513.90 : x
  2. Step 2: Convert to fraction form
    70,806.39/97,722.14 = 42,513.90/x
  3. Step 3: Cross multiply
    70,806.39x = 97,722.14 × 42,513.90
  4. Step 4: Simplify right side
    70,806.39x = 4,154,549,287.75
  5. Step 5: Solve for x
    x = 4,154,549,287.75/70,806.39
  6. Step 6: Final answer
    x = 58,674.78

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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.