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Finding the Fourth Proportional to 187,583, 258,840.43 and 107,005.72

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Solution

The fourth proportional to 187,583, 258,840.43 and 107,005.72 is: 147,654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,583 : 258,840.43 = 107,005.72 : x
  2. Step 2: Convert to fraction form
    187,583/258,840.43 = 107,005.72/x
  3. Step 3: Cross multiply
    187,583x = 258,840.43 × 107,005.72
  4. Step 4: Simplify right side
    187,583x = 27,697,406,577.26
  5. Step 5: Solve for x
    x = 27,697,406,577.26/187,583
  6. Step 6: Final answer
    x = 147,654.14

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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.