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Finding the Fourth Proportional to 77,164.88, 106,443.24 and 45,327.92

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Solution

The fourth proportional to 77,164.88, 106,443.24 and 45,327.92 is: 62,526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,164.88 : 106,443.24 = 45,327.92 : x
  2. Step 2: Convert to fraction form
    77,164.88/106,443.24 = 45,327.92/x
  3. Step 3: Cross multiply
    77,164.88x = 106,443.24 × 45,327.92
  4. Step 4: Simplify right side
    77,164.88x = 4,824,850,667.26
  5. Step 5: Solve for x
    x = 4,824,850,667.26/77,164.88
  6. Step 6: Final answer
    x = 62,526.51

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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.