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Finding the Fourth Proportional to 145,419.80, 218,132.43 and 45,577.78

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Solution

The fourth proportional to 145,419.80, 218,132.43 and 45,577.78 is: 68,367.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,419.80 : 218,132.43 = 45,577.78 : x
  2. Step 2: Convert to fraction form
    145,419.80/218,132.43 = 45,577.78/x
  3. Step 3: Cross multiply
    145,419.80x = 218,132.43 × 45,577.78
  4. Step 4: Simplify right side
    145,419.80x = 9,941,990,814.74
  5. Step 5: Solve for x
    x = 9,941,990,814.74/145,419.80
  6. Step 6: Final answer
    x = 68,367.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.