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Finding the Fourth Proportional to 138,407.50, 191,002.36 and 74,745.30

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Solution

The fourth proportional to 138,407.50, 191,002.36 and 74,745.30 is: 103,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,407.50 : 191,002.36 = 74,745.30 : x
  2. Step 2: Convert to fraction form
    138,407.50/191,002.36 = 74,745.30/x
  3. Step 3: Cross multiply
    138,407.50x = 191,002.36 × 74,745.30
  4. Step 4: Simplify right side
    138,407.50x = 14,276,528,698.91
  5. Step 5: Solve for x
    x = 14,276,528,698.91/138,407.50
  6. Step 6: Final answer
    x = 103,148.52

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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.