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Finding the Fourth Proportional to 186,987.86, 258,065.42 and 105,318.80

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Solution

The fourth proportional to 186,987.86, 258,065.42 and 105,318.80 is: 145,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,987.86 : 258,065.42 = 105,318.80 : x
  2. Step 2: Convert to fraction form
    186,987.86/258,065.42 = 105,318.80/x
  3. Step 3: Cross multiply
    186,987.86x = 258,065.42 × 105,318.80
  4. Step 4: Simplify right side
    186,987.86x = 27,179,140,474.47
  5. Step 5: Solve for x
    x = 27,179,140,474.47/186,987.86
  6. Step 6: Final answer
    x = 145,352.43

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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.