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Finding the Fourth Proportional to 153,229, 229,921.26 and 70,143.88

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Solution

The fourth proportional to 153,229, 229,921.26 and 70,143.88 is: 105,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,229 : 229,921.26 = 70,143.88 : x
  2. Step 2: Convert to fraction form
    153,229/229,921.26 = 70,143.88/x
  3. Step 3: Cross multiply
    153,229x = 229,921.26 × 70,143.88
  4. Step 4: Simplify right side
    153,229x = 16,127,569,270.89
  5. Step 5: Solve for x
    x = 16,127,569,270.89/153,229
  6. Step 6: Final answer
    x = 105,251.42

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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.