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Finding the Fourth Proportional to 153,912.70, 230,869.05 and 54,088.30

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Solution

The fourth proportional to 153,912.70, 230,869.05 and 54,088.30 is: 81,132.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,912.70 : 230,869.05 = 54,088.30 : x
  2. Step 2: Convert to fraction form
    153,912.70/230,869.05 = 54,088.30/x
  3. Step 3: Cross multiply
    153,912.70x = 230,869.05 × 54,088.30
  4. Step 4: Simplify right side
    153,912.70x = 12,487,314,437.12
  5. Step 5: Solve for x
    x = 12,487,314,437.12/153,912.70
  6. Step 6: Final answer
    x = 81,132.45

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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.