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Finding the Fourth Proportional to 138,985.52, 208,478.46 and 97,617.20

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Solution

The fourth proportional to 138,985.52, 208,478.46 and 97,617.20 is: 146,425.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,985.52 : 208,478.46 = 97,617.20 : x
  2. Step 2: Convert to fraction form
    138,985.52/208,478.46 = 97,617.20/x
  3. Step 3: Cross multiply
    138,985.52x = 208,478.46 × 97,617.20
  4. Step 4: Simplify right side
    138,985.52x = 20,351,083,525.51
  5. Step 5: Solve for x
    x = 20,351,083,525.51/138,985.52
  6. Step 6: Final answer
    x = 146,425.93

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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.