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Finding the Fourth Proportional to 138,458.40, 207,539.28 and 98,895.48

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Solution

The fourth proportional to 138,458.40, 207,539.28 and 98,895.48 is: 148,237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,458.40 : 207,539.28 = 98,895.48 : x
  2. Step 2: Convert to fraction form
    138,458.40/207,539.28 = 98,895.48/x
  3. Step 3: Cross multiply
    138,458.40x = 207,539.28 × 98,895.48
  4. Step 4: Simplify right side
    138,458.40x = 20,524,696,714.45
  5. Step 5: Solve for x
    x = 20,524,696,714.45/138,458.40
  6. Step 6: Final answer
    x = 148,237.28

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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.