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Finding the Fourth Proportional to 187,945.95, 259,114.50 and 149,311.96

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Solution

The fourth proportional to 187,945.95, 259,114.50 and 149,311.96 is: 205,851.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,945.95 : 259,114.50 = 149,311.96 : x
  2. Step 2: Convert to fraction form
    187,945.95/259,114.50 = 149,311.96/x
  3. Step 3: Cross multiply
    187,945.95x = 259,114.50 × 149,311.96
  4. Step 4: Simplify right side
    187,945.95x = 38,688,893,211.63
  5. Step 5: Solve for x
    x = 38,688,893,211.63/187,945.95
  6. Step 6: Final answer
    x = 205,851.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.