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Finding the Fourth Proportional to 77,671.76, 107,186.01 and 43,680.23

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Solution

The fourth proportional to 77,671.76, 107,186.01 and 43,680.23 is: 60,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,671.76 : 107,186.01 = 43,680.23 : x
  2. Step 2: Convert to fraction form
    77,671.76/107,186.01 = 43,680.23/x
  3. Step 3: Cross multiply
    77,671.76x = 107,186.01 × 43,680.23
  4. Step 4: Simplify right side
    77,671.76x = 4,681,909,837.55
  5. Step 5: Solve for x
    x = 4,681,909,837.55/77,671.76
  6. Step 6: Final answer
    x = 60,278.15

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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.