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Finding the Fourth Proportional to 138,870.10, 191,638.47 and 75,207.34

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Solution

The fourth proportional to 138,870.10, 191,638.47 and 75,207.34 is: 103,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,870.10 : 191,638.47 = 75,207.34 : x
  2. Step 2: Convert to fraction form
    138,870.10/191,638.47 = 75,207.34/x
  3. Step 3: Cross multiply
    138,870.10x = 191,638.47 × 75,207.34
  4. Step 4: Simplify right side
    138,870.10x = 14,412,619,570.37
  5. Step 5: Solve for x
    x = 14,412,619,570.37/138,870.10
  6. Step 6: Final answer
    x = 103,784.90

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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.