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Finding the Fourth Proportional to 138,420.48, 191,020.20 and 74,758.29

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Solution

The fourth proportional to 138,420.48, 191,020.20 and 74,758.29 is: 103,166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,420.48 : 191,020.20 = 74,758.29 : x
  2. Step 2: Convert to fraction form
    138,420.48/191,020.20 = 74,758.29/x
  3. Step 3: Cross multiply
    138,420.48x = 191,020.20 × 74,758.29
  4. Step 4: Simplify right side
    138,420.48x = 14,280,343,507.46
  5. Step 5: Solve for x
    x = 14,280,343,507.46/138,420.48
  6. Step 6: Final answer
    x = 103,166.41

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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.