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Finding the Fourth Proportional to 218,098.70, 300,955.47 and 127,475.90

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Solution

The fourth proportional to 218,098.70, 300,955.47 and 127,475.90 is: 175,904.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,098.70 : 300,955.47 = 127,475.90 : x
  2. Step 2: Convert to fraction form
    218,098.70/300,955.47 = 127,475.90/x
  3. Step 3: Cross multiply
    218,098.70x = 300,955.47 × 127,475.90
  4. Step 4: Simplify right side
    218,098.70x = 38,364,569,398.17
  5. Step 5: Solve for x
    x = 38,364,569,398.17/218,098.70
  6. Step 6: Final answer
    x = 175,904.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.