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Finding the Fourth Proportional to 187,300.80, 281,210.40 and 147,902.40

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Solution

The fourth proportional to 187,300.80, 281,210.40 and 147,902.40 is: 222,058.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,300.80 : 281,210.40 = 147,902.40 : x
  2. Step 2: Convert to fraction form
    187,300.80/281,210.40 = 147,902.40/x
  3. Step 3: Cross multiply
    187,300.80x = 281,210.40 × 147,902.40
  4. Step 4: Simplify right side
    187,300.80x = 41,591,693,064.96
  5. Step 5: Solve for x
    x = 41,591,693,064.96/187,300.80
  6. Step 6: Final answer
    x = 222,058.28

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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.