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Finding the Fourth Proportional to 101,800, 140,484.08 and 57,088

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Solution

The fourth proportional to 101,800, 140,484.08 and 57,088 is: 78,781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,800 : 140,484.08 = 57,088 : x
  2. Step 2: Convert to fraction form
    101,800/140,484.08 = 57,088/x
  3. Step 3: Cross multiply
    101,800x = 140,484.08 × 57,088
  4. Step 4: Simplify right side
    101,800x = 8,019,955,159.04
  5. Step 5: Solve for x
    x = 8,019,955,159.04/101,800
  6. Step 6: Final answer
    x = 78,781.48

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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.