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Finding the Fourth Proportional to 138,047.10, 207,070.65 and 100,868.10

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Solution

The fourth proportional to 138,047.10, 207,070.65 and 100,868.10 is: 151,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,047.10 : 207,070.65 = 100,868.10 : x
  2. Step 2: Convert to fraction form
    138,047.10/207,070.65 = 100,868.10/x
  3. Step 3: Cross multiply
    138,047.10x = 207,070.65 × 100,868.10
  4. Step 4: Simplify right side
    138,047.10x = 20,886,823,031.27
  5. Step 5: Solve for x
    x = 20,886,823,031.27/138,047.10
  6. Step 6: Final answer
    x = 151,302.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.