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Finding the Fourth Proportional to 77,648.88, 107,189.04 and 48,994.32

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Solution

The fourth proportional to 77,648.88, 107,189.04 and 48,994.32 is: 67,633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,648.88 : 107,189.04 = 48,994.32 : x
  2. Step 2: Convert to fraction form
    77,648.88/107,189.04 = 48,994.32/x
  3. Step 3: Cross multiply
    77,648.88x = 107,189.04 × 48,994.32
  4. Step 4: Simplify right side
    77,648.88x = 5,251,654,126.25
  5. Step 5: Solve for x
    x = 5,251,654,126.25/77,648.88
  6. Step 6: Final answer
    x = 67,633.35

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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.