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Finding the Fourth Proportional to 137,521.60, 189,762.84 and 83,787.04

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Solution

The fourth proportional to 137,521.60, 189,762.84 and 83,787.04 is: 115,615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,521.60 : 189,762.84 = 83,787.04 : x
  2. Step 2: Convert to fraction form
    137,521.60/189,762.84 = 83,787.04/x
  3. Step 3: Cross multiply
    137,521.60x = 189,762.84 × 83,787.04
  4. Step 4: Simplify right side
    137,521.60x = 15,899,666,665.59
  5. Step 5: Solve for x
    x = 15,899,666,665.59/137,521.60
  6. Step 6: Final answer
    x = 115,615.78

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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.