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Finding the Fourth Proportional to 187,393.95, 258,601.55 and 102,510

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Solution

The fourth proportional to 187,393.95, 258,601.55 and 102,510 is: 141,462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,393.95 : 258,601.55 = 102,510 : x
  2. Step 2: Convert to fraction form
    187,393.95/258,601.55 = 102,510/x
  3. Step 3: Cross multiply
    187,393.95x = 258,601.55 × 102,510
  4. Step 4: Simplify right side
    187,393.95x = 26,509,244,377.95
  5. Step 5: Solve for x
    x = 26,509,244,377.95/187,393.95
  6. Step 6: Final answer
    x = 141,462.65

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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.