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Finding the Fourth Proportional to 100,078.08, 138,117.12 and 55,380.48

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Solution

The fourth proportional to 100,078.08, 138,117.12 and 55,380.48 is: 76,430.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,078.08 : 138,117.12 = 55,380.48 : x
  2. Step 2: Convert to fraction form
    100,078.08/138,117.12 = 55,380.48/x
  3. Step 3: Cross multiply
    100,078.08x = 138,117.12 × 55,380.48
  4. Step 4: Simplify right side
    100,078.08x = 7,648,992,401.82
  5. Step 5: Solve for x
    x = 7,648,992,401.82/100,078.08
  6. Step 6: Final answer
    x = 76,430.25

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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.