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Finding the Fourth Proportional to 242,978.32, 364,149.42 and 130,527.10

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Solution

The fourth proportional to 242,978.32, 364,149.42 and 130,527.10 is: 195,619.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,978.32 : 364,149.42 = 130,527.10 : x
  2. Step 2: Convert to fraction form
    242,978.32/364,149.42 = 130,527.10/x
  3. Step 3: Cross multiply
    242,978.32x = 364,149.42 × 130,527.10
  4. Step 4: Simplify right side
    242,978.32x = 47,531,367,759.28
  5. Step 5: Solve for x
    x = 47,531,367,759.28/242,978.32
  6. Step 6: Final answer
    x = 195,619.79

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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.