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Finding the Fourth Proportional to 187,858.95, 281,718.20 and 75,501.11

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Solution

The fourth proportional to 187,858.95, 281,718.20 and 75,501.11 is: 113,223.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,858.95 : 281,718.20 = 75,501.11 : x
  2. Step 2: Convert to fraction form
    187,858.95/281,718.20 = 75,501.11/x
  3. Step 3: Cross multiply
    187,858.95x = 281,718.20 × 75,501.11
  4. Step 4: Simplify right side
    187,858.95x = 21,270,037,700.25
  5. Step 5: Solve for x
    x = 21,270,037,700.25/187,858.95
  6. Step 6: Final answer
    x = 113,223.45

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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.