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Finding the Fourth Proportional to 257,544.32, 386,241.60 and 99,737.60

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Solution

The fourth proportional to 257,544.32, 386,241.60 and 99,737.60 is: 149,577.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,544.32 : 386,241.60 = 99,737.60 : x
  2. Step 2: Convert to fraction form
    257,544.32/386,241.60 = 99,737.60/x
  3. Step 3: Cross multiply
    257,544.32x = 386,241.60 × 99,737.60
  4. Step 4: Simplify right side
    257,544.32x = 38,522,810,204.16
  5. Step 5: Solve for x
    x = 38,522,810,204.16/257,544.32
  6. Step 6: Final answer
    x = 149,577.40

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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.