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Finding the Fourth Proportional to 153,471.81, 230,100.50 and 68,036.20

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Solution

The fourth proportional to 153,471.81, 230,100.50 and 68,036.20 is: 102,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,471.81 : 230,100.50 = 68,036.20 : x
  2. Step 2: Convert to fraction form
    153,471.81/230,100.50 = 68,036.20/x
  3. Step 3: Cross multiply
    153,471.81x = 230,100.50 × 68,036.20
  4. Step 4: Simplify right side
    153,471.81x = 15,655,164,144.55
  5. Step 5: Solve for x
    x = 15,655,164,144.55/153,471.81
  6. Step 6: Final answer
    x = 102,006.77

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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.