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Finding the Fourth Proportional to 153,985.62, 230,986.62 and 48,812.82

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Solution

The fourth proportional to 153,985.62, 230,986.62 and 48,812.82 is: 73,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,985.62 : 230,986.62 = 48,812.82 : x
  2. Step 2: Convert to fraction form
    153,985.62/230,986.62 = 48,812.82/x
  3. Step 3: Cross multiply
    153,985.62x = 230,986.62 × 48,812.82
  4. Step 4: Simplify right side
    153,985.62x = 11,275,108,304.47
  5. Step 5: Solve for x
    x = 11,275,108,304.47/153,985.62
  6. Step 6: Final answer
    x = 73,221.83

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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.