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Finding the Fourth Proportional to 136,209.60, 187,970.40 and 75,787.20

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Solution

The fourth proportional to 136,209.60, 187,970.40 and 75,787.20 is: 104,586.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,209.60 : 187,970.40 = 75,787.20 : x
  2. Step 2: Convert to fraction form
    136,209.60/187,970.40 = 75,787.20/x
  3. Step 3: Cross multiply
    136,209.60x = 187,970.40 × 75,787.20
  4. Step 4: Simplify right side
    136,209.60x = 14,245,750,298.88
  5. Step 5: Solve for x
    x = 14,245,750,298.88/136,209.60
  6. Step 6: Final answer
    x = 104,586.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.