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Finding the Fourth Proportional to 105,988.70, 146,232.51 and 63,531.74

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Solution

The fourth proportional to 105,988.70, 146,232.51 and 63,531.74 is: 87,654.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,988.70 : 146,232.51 = 63,531.74 : x
  2. Step 2: Convert to fraction form
    105,988.70/146,232.51 = 63,531.74/x
  3. Step 3: Cross multiply
    105,988.70x = 146,232.51 × 63,531.74
  4. Step 4: Simplify right side
    105,988.70x = 9,290,405,804.87
  5. Step 5: Solve for x
    x = 9,290,405,804.87/105,988.70
  6. Step 6: Final answer
    x = 87,654.68

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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.