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Finding the Fourth Proportional to 187,282.80, 280,916.88 and 103,209.68

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Solution

The fourth proportional to 187,282.80, 280,916.88 and 103,209.68 is: 154,810.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,282.80 : 280,916.88 = 103,209.68 : x
  2. Step 2: Convert to fraction form
    187,282.80/280,916.88 = 103,209.68/x
  3. Step 3: Cross multiply
    187,282.80x = 280,916.88 × 103,209.68
  4. Step 4: Simplify right side
    187,282.80x = 28,993,341,291.40
  5. Step 5: Solve for x
    x = 28,993,341,291.40/187,282.80
  6. Step 6: Final answer
    x = 154,810.49

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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.