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Finding the Fourth Proportional to 187,870.80, 281,843.14 and 69,543.16

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Solution

The fourth proportional to 187,870.80, 281,843.14 and 69,543.16 is: 104,328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,870.80 : 281,843.14 = 69,543.16 : x
  2. Step 2: Convert to fraction form
    187,870.80/281,843.14 = 69,543.16/x
  3. Step 3: Cross multiply
    187,870.80x = 281,843.14 × 69,543.16
  4. Step 4: Simplify right side
    187,870.80x = 19,600,262,579.92
  5. Step 5: Solve for x
    x = 19,600,262,579.92/187,870.80
  6. Step 6: Final answer
    x = 104,328.41

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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.