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Finding the Fourth Proportional to 138,407.29, 191,002.05 and 74,745.07

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Solution

The fourth proportional to 138,407.29, 191,002.05 and 74,745.07 is: 103,148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,407.29 : 191,002.05 = 74,745.07 : x
  2. Step 2: Convert to fraction form
    138,407.29/191,002.05 = 74,745.07/x
  3. Step 3: Cross multiply
    138,407.29x = 191,002.05 × 74,745.07
  4. Step 4: Simplify right side
    138,407.29x = 14,276,461,119.89
  5. Step 5: Solve for x
    x = 14,276,461,119.89/138,407.29
  6. Step 6: Final answer
    x = 103,148.19

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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.