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Finding the Fourth Proportional to 77,158.76, 106,443.78 and 45,327.08

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Solution

The fourth proportional to 77,158.76, 106,443.78 and 45,327.08 is: 62,530.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,158.76 : 106,443.78 = 45,327.08 : x
  2. Step 2: Convert to fraction form
    77,158.76/106,443.78 = 45,327.08/x
  3. Step 3: Cross multiply
    77,158.76x = 106,443.78 × 45,327.08
  4. Step 4: Simplify right side
    77,158.76x = 4,824,785,731.56
  5. Step 5: Solve for x
    x = 4,824,785,731.56/77,158.76
  6. Step 6: Final answer
    x = 62,530.63

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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.