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Finding the Fourth Proportional to 103,009.14, 154,249.65 and 86,328

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Solution

The fourth proportional to 103,009.14, 154,249.65 and 86,328 is: 129,270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,009.14 : 154,249.65 = 86,328 : x
  2. Step 2: Convert to fraction form
    103,009.14/154,249.65 = 86,328/x
  3. Step 3: Cross multiply
    103,009.14x = 154,249.65 × 86,328
  4. Step 4: Simplify right side
    103,009.14x = 13,316,063,785.20
  5. Step 5: Solve for x
    x = 13,316,063,785.20/103,009.14
  6. Step 6: Final answer
    x = 129,270.70

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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.