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Finding the Fourth Proportional to 138,030.30, 207,264.15 and 100,851.30

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Solution

The fourth proportional to 138,030.30, 207,264.15 and 100,851.30 is: 151,436.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,030.30 : 207,264.15 = 100,851.30 : x
  2. Step 2: Convert to fraction form
    138,030.30/207,264.15 = 100,851.30/x
  3. Step 3: Cross multiply
    138,030.30x = 207,264.15 × 100,851.30
  4. Step 4: Simplify right side
    138,030.30x = 20,902,858,970.90
  5. Step 5: Solve for x
    x = 20,902,858,970.90/138,030.30
  6. Step 6: Final answer
    x = 151,436.74

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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.