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Finding the Fourth Proportional to 82,787.62, 124,199.95 and 30,197.10

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Solution

The fourth proportional to 82,787.62, 124,199.95 and 30,197.10 is: 45,302.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,787.62 : 124,199.95 = 30,197.10 : x
  2. Step 2: Convert to fraction form
    82,787.62/124,199.95 = 30,197.10/x
  3. Step 3: Cross multiply
    82,787.62x = 124,199.95 × 30,197.10
  4. Step 4: Simplify right side
    82,787.62x = 3,750,478,700.40
  5. Step 5: Solve for x
    x = 3,750,478,700.40/82,787.62
  6. Step 6: Final answer
    x = 45,302.41

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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.