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Finding the Fourth Proportional to 142,889.20, 214,290.02 and 98,799.28

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Solution

The fourth proportional to 142,889.20, 214,290.02 and 98,799.28 is: 148,168.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,889.20 : 214,290.02 = 98,799.28 : x
  2. Step 2: Convert to fraction form
    142,889.20/214,290.02 = 98,799.28/x
  3. Step 3: Cross multiply
    142,889.20x = 214,290.02 × 98,799.28
  4. Step 4: Simplify right side
    142,889.20x = 21,171,699,398.46
  5. Step 5: Solve for x
    x = 21,171,699,398.46/142,889.20
  6. Step 6: Final answer
    x = 148,168.65

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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.