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Finding the Fourth Proportional to 138,985.44, 208,603.44 and 86,497.44

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Solution

The fourth proportional to 138,985.44, 208,603.44 and 86,497.44 is: 129,824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,985.44 : 208,603.44 = 86,497.44 : x
  2. Step 2: Convert to fraction form
    138,985.44/208,603.44 = 86,497.44/x
  3. Step 3: Cross multiply
    138,985.44x = 208,603.44 × 86,497.44
  4. Step 4: Simplify right side
    138,985.44x = 18,043,663,535.19
  5. Step 5: Solve for x
    x = 18,043,663,535.19/138,985.44
  6. Step 6: Final answer
    x = 129,824.13

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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.