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Finding the Fourth Proportional to 142,902.63, 214,310.13 and 98,812.71

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Solution

The fourth proportional to 142,902.63, 214,310.13 and 98,812.71 is: 148,188.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,902.63 : 214,310.13 = 98,812.71 : x
  2. Step 2: Convert to fraction form
    142,902.63/214,310.13 = 98,812.71/x
  3. Step 3: Cross multiply
    142,902.63x = 214,310.13 × 98,812.71
  4. Step 4: Simplify right side
    142,902.63x = 21,176,564,725.75
  5. Step 5: Solve for x
    x = 21,176,564,725.75/142,902.63
  6. Step 6: Final answer
    x = 148,188.77

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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.