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Finding the Fourth Proportional to 138,407.38, 191,002.19 and 74,745.18

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Solution

The fourth proportional to 138,407.38, 191,002.19 and 74,745.18 is: 103,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,407.38 : 191,002.19 = 74,745.18 : x
  2. Step 2: Convert to fraction form
    138,407.38/191,002.19 = 74,745.18/x
  3. Step 3: Cross multiply
    138,407.38x = 191,002.19 × 74,745.18
  4. Step 4: Simplify right side
    138,407.38x = 14,276,493,071.94
  5. Step 5: Solve for x
    x = 14,276,493,071.94/138,407.38
  6. Step 6: Final answer
    x = 103,148.35

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1.5x scale

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.