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Finding the Fourth Proportional to 102,079.34, 140,865.80 and 56,138.59

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Solution

The fourth proportional to 102,079.34, 140,865.80 and 56,138.59 is: 77,469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,079.34 : 140,865.80 = 56,138.59 : x
  2. Step 2: Convert to fraction form
    102,079.34/140,865.80 = 56,138.59/x
  3. Step 3: Cross multiply
    102,079.34x = 140,865.80 × 56,138.59
  4. Step 4: Simplify right side
    102,079.34x = 7,908,006,494.24
  5. Step 5: Solve for x
    x = 7,908,006,494.24/102,079.34
  6. Step 6: Final answer
    x = 77,469.22

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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.