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Finding the Fourth Proportional to 145,419.66, 218,132.24 and 45,577.66

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Solution

The fourth proportional to 145,419.66, 218,132.24 and 45,577.66 is: 68,367.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,419.66 : 218,132.24 = 45,577.66 : x
  2. Step 2: Convert to fraction form
    145,419.66/218,132.24 = 45,577.66/x
  3. Step 3: Cross multiply
    145,419.66x = 218,132.24 × 45,577.66
  4. Step 4: Simplify right side
    145,419.66x = 9,941,957,069.76
  5. Step 5: Solve for x
    x = 9,941,957,069.76/145,419.66
  6. Step 6: Final answer
    x = 68,367.35

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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.