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Finding the Fourth Proportional to 138,674.06, 191,369.30 and 75,010.50

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Solution

The fourth proportional to 138,674.06, 191,369.30 and 75,010.50 is: 103,514.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,674.06 : 191,369.30 = 75,010.50 : x
  2. Step 2: Convert to fraction form
    138,674.06/191,369.30 = 75,010.50/x
  3. Step 3: Cross multiply
    138,674.06x = 191,369.30 × 75,010.50
  4. Step 4: Simplify right side
    138,674.06x = 14,354,706,877.65
  5. Step 5: Solve for x
    x = 14,354,706,877.65/138,674.06
  6. Step 6: Final answer
    x = 103,514.00

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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.