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Finding the Fourth Proportional to 124,493.10, 186,739.65 and 85,127.10

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Solution

The fourth proportional to 124,493.10, 186,739.65 and 85,127.10 is: 127,690.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,493.10 : 186,739.65 = 85,127.10 : x
  2. Step 2: Convert to fraction form
    124,493.10/186,739.65 = 85,127.10/x
  3. Step 3: Cross multiply
    124,493.10x = 186,739.65 × 85,127.10
  4. Step 4: Simplify right side
    124,493.10x = 15,896,604,859.52
  5. Step 5: Solve for x
    x = 15,896,604,859.52/124,493.10
  6. Step 6: Final answer
    x = 127,690.65

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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.