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Finding the Fourth Proportional to 149,737.86, 206,588.61 and 98,775.90

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Solution

The fourth proportional to 149,737.86, 206,588.61 and 98,775.90 is: 136,278.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,737.86 : 206,588.61 = 98,775.90 : x
  2. Step 2: Convert to fraction form
    149,737.86/206,588.61 = 98,775.90/x
  3. Step 3: Cross multiply
    149,737.86x = 206,588.61 × 98,775.90
  4. Step 4: Simplify right side
    149,737.86x = 20,405,975,882.50
  5. Step 5: Solve for x
    x = 20,405,975,882.50/149,737.86
  6. Step 6: Final answer
    x = 136,278.00

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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.