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Finding the Fourth Proportional to 78,001.83, 107,682.36 and 54,087

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Solution

The fourth proportional to 78,001.83, 107,682.36 and 54,087 is: 74,667.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,001.83 : 107,682.36 = 54,087 : x
  2. Step 2: Convert to fraction form
    78,001.83/107,682.36 = 54,087/x
  3. Step 3: Cross multiply
    78,001.83x = 107,682.36 × 54,087
  4. Step 4: Simplify right side
    78,001.83x = 5,824,215,805.32
  5. Step 5: Solve for x
    x = 5,824,215,805.32/78,001.83
  6. Step 6: Final answer
    x = 74,667.68

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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.