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Finding the Fourth Proportional to 187,291.28, 280,929.44 and 103,218.14

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Solution

The fourth proportional to 187,291.28, 280,929.44 and 103,218.14 is: 154,823.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,291.28 : 280,929.44 = 103,218.14 : x
  2. Step 2: Convert to fraction form
    187,291.28/280,929.44 = 103,218.14/x
  3. Step 3: Cross multiply
    187,291.28x = 280,929.44 × 103,218.14
  4. Step 4: Simplify right side
    187,291.28x = 28,997,013,751.95
  5. Step 5: Solve for x
    x = 28,997,013,751.95/187,291.28
  6. Step 6: Final answer
    x = 154,823.08

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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.