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Finding the Fourth Proportional to 76,863.51, 106,062.21 and 42,864.03

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Solution

The fourth proportional to 76,863.51, 106,062.21 and 42,864.03 is: 59,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,863.51 : 106,062.21 = 42,864.03 : x
  2. Step 2: Convert to fraction form
    76,863.51/106,062.21 = 42,864.03/x
  3. Step 3: Cross multiply
    76,863.51x = 106,062.21 × 42,864.03
  4. Step 4: Simplify right side
    76,863.51x = 4,546,253,751.31
  5. Step 5: Solve for x
    x = 4,546,253,751.31/76,863.51
  6. Step 6: Final answer
    x = 59,147.10

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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.