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Finding the Fourth Proportional to 137,219.79, 205,800.89 and 38,700.75

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Solution

The fourth proportional to 137,219.79, 205,800.89 and 38,700.75 is: 58,043.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,219.79 : 205,800.89 = 38,700.75 : x
  2. Step 2: Convert to fraction form
    137,219.79/205,800.89 = 38,700.75/x
  3. Step 3: Cross multiply
    137,219.79x = 205,800.89 × 38,700.75
  4. Step 4: Simplify right side
    137,219.79x = 7,964,648,600.16
  5. Step 5: Solve for x
    x = 7,964,648,600.16/137,219.79
  6. Step 6: Final answer
    x = 58,043.00

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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.