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Finding the Fourth Proportional to 142,877.17, 214,351.41 and 100,839.39

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Solution

The fourth proportional to 142,877.17, 214,351.41 and 100,839.39 is: 151,284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,877.17 : 214,351.41 = 100,839.39 : x
  2. Step 2: Convert to fraction form
    142,877.17/214,351.41 = 100,839.39/x
  3. Step 3: Cross multiply
    142,877.17x = 214,351.41 × 100,839.39
  4. Step 4: Simplify right side
    142,877.17x = 21,615,065,430.04
  5. Step 5: Solve for x
    x = 21,615,065,430.04/142,877.17
  6. Step 6: Final answer
    x = 151,284.25

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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.