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Finding the Fourth Proportional to 78,512.01, 108,343.44 and 42,702

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Solution

The fourth proportional to 78,512.01, 108,343.44 and 42,702 is: 58,927.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,512.01 : 108,343.44 = 42,702 : x
  2. Step 2: Convert to fraction form
    78,512.01/108,343.44 = 42,702/x
  3. Step 3: Cross multiply
    78,512.01x = 108,343.44 × 42,702
  4. Step 4: Simplify right side
    78,512.01x = 4,626,481,574.88
  5. Step 5: Solve for x
    x = 4,626,481,574.88/78,512.01
  6. Step 6: Final answer
    x = 58,927.06

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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.