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Finding the Fourth Proportional to 140,753.60, 211,166.40 and 99,281.60

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Solution

The fourth proportional to 140,753.60, 211,166.40 and 99,281.60 is: 148,947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,753.60 : 211,166.40 = 99,281.60 : x
  2. Step 2: Convert to fraction form
    140,753.60/211,166.40 = 99,281.60/x
  3. Step 3: Cross multiply
    140,753.60x = 211,166.40 × 99,281.60
  4. Step 4: Simplify right side
    140,753.60x = 20,964,938,058.24
  5. Step 5: Solve for x
    x = 20,964,938,058.24/140,753.60
  6. Step 6: Final answer
    x = 148,947.79

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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.