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Finding the Fourth Proportional to 58,020, 80,067.68 and 32,871.20

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Solution

The fourth proportional to 58,020, 80,067.68 and 32,871.20 is: 45,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,020 : 80,067.68 = 32,871.20 : x
  2. Step 2: Convert to fraction form
    58,020/80,067.68 = 32,871.20/x
  3. Step 3: Cross multiply
    58,020x = 80,067.68 × 32,871.20
  4. Step 4: Simplify right side
    58,020x = 2,631,920,722.82
  5. Step 5: Solve for x
    x = 2,631,920,722.82/58,020
  6. Step 6: Final answer
    x = 45,362.30

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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.