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Finding the Fourth Proportional to 187,670.68, 258,981.78 and 102,787

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Solution

The fourth proportional to 187,670.68, 258,981.78 and 102,787 is: 141,844.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,670.68 : 258,981.78 = 102,787 : x
  2. Step 2: Convert to fraction form
    187,670.68/258,981.78 = 102,787/x
  3. Step 3: Cross multiply
    187,670.68x = 258,981.78 × 102,787
  4. Step 4: Simplify right side
    187,670.68x = 26,619,960,220.86
  5. Step 5: Solve for x
    x = 26,619,960,220.86/187,670.68
  6. Step 6: Final answer
    x = 141,844.00

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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.