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Finding the Fourth Proportional to 138,409.80, 207,485.10 and 108,407.40

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Solution

The fourth proportional to 138,409.80, 207,485.10 and 108,407.40 is: 162,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,409.80 : 207,485.10 = 108,407.40 : x
  2. Step 2: Convert to fraction form
    138,409.80/207,485.10 = 108,407.40/x
  3. Step 3: Cross multiply
    138,409.80x = 207,485.10 × 108,407.40
  4. Step 4: Simplify right side
    138,409.80x = 22,492,920,229.74
  5. Step 5: Solve for x
    x = 22,492,920,229.74/138,409.80
  6. Step 6: Final answer
    x = 162,509.59

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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.