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Finding the Fourth Proportional to 187,690.95, 259,012.33 and 101,648.57

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Solution

The fourth proportional to 187,690.95, 259,012.33 and 101,648.57 is: 140,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,690.95 : 259,012.33 = 101,648.57 : x
  2. Step 2: Convert to fraction form
    187,690.95/259,012.33 = 101,648.57/x
  3. Step 3: Cross multiply
    187,690.95x = 259,012.33 × 101,648.57
  4. Step 4: Simplify right side
    187,690.95x = 26,328,231,407.69
  5. Step 5: Solve for x
    x = 26,328,231,407.69/187,690.95
  6. Step 6: Final answer
    x = 140,274.38

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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.