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Finding the Fourth Proportional to 138,302.48, 190,858.20 and 78,686.48

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Solution

The fourth proportional to 138,302.48, 190,858.20 and 78,686.48 is: 108,587.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,302.48 : 190,858.20 = 78,686.48 : x
  2. Step 2: Convert to fraction form
    138,302.48/190,858.20 = 78,686.48/x
  3. Step 3: Cross multiply
    138,302.48x = 190,858.20 × 78,686.48
  4. Step 4: Simplify right side
    138,302.48x = 15,017,959,937.14
  5. Step 5: Solve for x
    x = 15,017,959,937.14/138,302.48
  6. Step 6: Final answer
    x = 108,587.78

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1.5x scale

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.