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Finding the Fourth Proportional to 138,147.84, 190,648.32 and 78,535.68

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Solution

The fourth proportional to 138,147.84, 190,648.32 and 78,535.68 is: 108,381.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,147.84 : 190,648.32 = 78,535.68 : x
  2. Step 2: Convert to fraction form
    138,147.84/190,648.32 = 78,535.68/x
  3. Step 3: Cross multiply
    138,147.84x = 190,648.32 × 78,535.68
  4. Step 4: Simplify right side
    138,147.84x = 14,972,695,452.06
  5. Step 5: Solve for x
    x = 14,972,695,452.06/138,147.84
  6. Step 6: Final answer
    x = 108,381.68

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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.