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Finding the Fourth Proportional to 124,227.78, 186,378.98 and 38,835.20

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Solution

The fourth proportional to 124,227.78, 186,378.98 and 38,835.20 is: 58,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,227.78 : 186,378.98 = 38,835.20 : x
  2. Step 2: Convert to fraction form
    124,227.78/186,378.98 = 38,835.20/x
  3. Step 3: Cross multiply
    124,227.78x = 186,378.98 × 38,835.20
  4. Step 4: Simplify right side
    124,227.78x = 7,238,064,964.10
  5. Step 5: Solve for x
    x = 7,238,064,964.10/124,227.78
  6. Step 6: Final answer
    x = 58,264.46

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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.