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Finding the Fourth Proportional to 137,114.70, 205,672.05 and 84,353.10

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Solution

The fourth proportional to 137,114.70, 205,672.05 and 84,353.10 is: 126,529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,114.70 : 205,672.05 = 84,353.10 : x
  2. Step 2: Convert to fraction form
    137,114.70/205,672.05 = 84,353.10/x
  3. Step 3: Cross multiply
    137,114.70x = 205,672.05 × 84,353.10
  4. Step 4: Simplify right side
    137,114.70x = 17,349,075,000.86
  5. Step 5: Solve for x
    x = 17,349,075,000.86/137,114.70
  6. Step 6: Final answer
    x = 126,529.65

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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.