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Finding the Fourth Proportional to 187,653.78, 258,962.13 and 102,770.10

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Solution

The fourth proportional to 187,653.78, 258,962.13 and 102,770.10 is: 141,822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,653.78 : 258,962.13 = 102,770.10 : x
  2. Step 2: Convert to fraction form
    187,653.78/258,962.13 = 102,770.10/x
  3. Step 3: Cross multiply
    187,653.78x = 258,962.13 × 102,770.10
  4. Step 4: Simplify right side
    187,653.78x = 26,613,563,996.31
  5. Step 5: Solve for x
    x = 26,613,563,996.31/187,653.78
  6. Step 6: Final answer
    x = 141,822.69

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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.