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Finding the Fourth Proportional to 153,238.53, 229,909.53 and 67,837.61

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Solution

The fourth proportional to 153,238.53, 229,909.53 and 67,837.61 is: 101,779.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,238.53 : 229,909.53 = 67,837.61 : x
  2. Step 2: Convert to fraction form
    153,238.53/229,909.53 = 67,837.61/x
  3. Step 3: Cross multiply
    153,238.53x = 229,909.53 × 67,837.61
  4. Step 4: Simplify right side
    153,238.53x = 15,596,513,177.72
  5. Step 5: Solve for x
    x = 15,596,513,177.72/153,238.53
  6. Step 6: Final answer
    x = 101,779.32

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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.