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Finding the Fourth Proportional to 187,280.76, 258,447.78 and 102,397.80

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Solution

The fourth proportional to 187,280.76, 258,447.78 and 102,397.80 is: 141,309.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,280.76 : 258,447.78 = 102,397.80 : x
  2. Step 2: Convert to fraction form
    187,280.76/258,447.78 = 102,397.80/x
  3. Step 3: Cross multiply
    187,280.76x = 258,447.78 × 102,397.80
  4. Step 4: Simplify right side
    187,280.76x = 26,464,484,086.88
  5. Step 5: Solve for x
    x = 26,464,484,086.88/187,280.76
  6. Step 6: Final answer
    x = 141,309.15

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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.