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Finding the Fourth Proportional to 71,419.68, 98,565.53 and 45,986.81

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Solution

The fourth proportional to 71,419.68, 98,565.53 and 45,986.81 is: 63,465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,419.68 : 98,565.53 = 45,986.81 : x
  2. Step 2: Convert to fraction form
    71,419.68/98,565.53 = 45,986.81/x
  3. Step 3: Cross multiply
    71,419.68x = 98,565.53 × 45,986.81
  4. Step 4: Simplify right side
    71,419.68x = 4,532,713,577.90
  5. Step 5: Solve for x
    x = 4,532,713,577.90/71,419.68
  6. Step 6: Final answer
    x = 63,465.89

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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.