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Finding the Fourth Proportional to 142,508.58, 213,928.41 and 83,386.62

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Solution

The fourth proportional to 142,508.58, 213,928.41 and 83,386.62 is: 125,176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,508.58 : 213,928.41 = 83,386.62 : x
  2. Step 2: Convert to fraction form
    142,508.58/213,928.41 = 83,386.62/x
  3. Step 3: Cross multiply
    142,508.58x = 213,928.41 × 83,386.62
  4. Step 4: Simplify right side
    142,508.58x = 17,838,767,031.87
  5. Step 5: Solve for x
    x = 17,838,767,031.87/142,508.58
  6. Step 6: Final answer
    x = 125,176.79

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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.