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Finding the Fourth Proportional to 142,776.90, 214,165.35 and 83,679.30

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Solution

The fourth proportional to 142,776.90, 214,165.35 and 83,679.30 is: 125,518.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,776.90 : 214,165.35 = 83,679.30 : x
  2. Step 2: Convert to fraction form
    142,776.90/214,165.35 = 83,679.30/x
  3. Step 3: Cross multiply
    142,776.90x = 214,165.35 × 83,679.30
  4. Step 4: Simplify right side
    142,776.90x = 17,921,206,572.26
  5. Step 5: Solve for x
    x = 17,921,206,572.26/142,776.90
  6. Step 6: Final answer
    x = 125,518.95

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1.5x scale

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.