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Finding the Fourth Proportional to 187,178.95, 280,636.92 and 65,569.74

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Solution

The fourth proportional to 187,178.95, 280,636.92 and 65,569.74 is: 98,308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,178.95 : 280,636.92 = 65,569.74 : x
  2. Step 2: Convert to fraction form
    187,178.95/280,636.92 = 65,569.74/x
  3. Step 3: Cross multiply
    187,178.95x = 280,636.92 × 65,569.74
  4. Step 4: Simplify right side
    187,178.95x = 18,401,289,878.80
  5. Step 5: Solve for x
    x = 18,401,289,878.80/187,178.95
  6. Step 6: Final answer
    x = 98,308.54

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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.