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Finding the Fourth Proportional to 138,602.80, 207,904.20 and 86,114.80

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Solution

The fourth proportional to 138,602.80, 207,904.20 and 86,114.80 is: 129,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,602.80 : 207,904.20 = 86,114.80 : x
  2. Step 2: Convert to fraction form
    138,602.80/207,904.20 = 86,114.80/x
  3. Step 3: Cross multiply
    138,602.80x = 207,904.20 × 86,114.80
  4. Step 4: Simplify right side
    138,602.80x = 17,903,628,602.16
  5. Step 5: Solve for x
    x = 17,903,628,602.16/138,602.80
  6. Step 6: Final answer
    x = 129,172.20

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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.