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Finding the Fourth Proportional to 77,229.77, 106,522.11 and 70,876.88

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Solution

The fourth proportional to 77,229.77, 106,522.11 and 70,876.88 is: 97,759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,229.77 : 106,522.11 = 70,876.88 : x
  2. Step 2: Convert to fraction form
    77,229.77/106,522.11 = 70,876.88/x
  3. Step 3: Cross multiply
    77,229.77x = 106,522.11 × 70,876.88
  4. Step 4: Simplify right side
    77,229.77x = 7,549,954,807.82
  5. Step 5: Solve for x
    x = 7,549,954,807.82/77,229.77
  6. Step 6: Final answer
    x = 97,759.64

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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.