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Finding the Fourth Proportional to 154,019.76, 231,103.08 and 83,897.52

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Solution

The fourth proportional to 154,019.76, 231,103.08 and 83,897.52 is: 125,886.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,019.76 : 231,103.08 = 83,897.52 : x
  2. Step 2: Convert to fraction form
    154,019.76/231,103.08 = 83,897.52/x
  3. Step 3: Cross multiply
    154,019.76x = 231,103.08 × 83,897.52
  4. Step 4: Simplify right side
    154,019.76x = 19,388,975,276.36
  5. Step 5: Solve for x
    x = 19,388,975,276.36/154,019.76
  6. Step 6: Final answer
    x = 125,886.28

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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.