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Finding the Fourth Proportional to 90,642.69, 135,943.47 and 34,462.80

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Solution

The fourth proportional to 90,642.69, 135,943.47 and 34,462.80 is: 51,686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,642.69 : 135,943.47 = 34,462.80 : x
  2. Step 2: Convert to fraction form
    90,642.69/135,943.47 = 34,462.80/x
  3. Step 3: Cross multiply
    90,642.69x = 135,943.47 × 34,462.80
  4. Step 4: Simplify right side
    90,642.69x = 4,684,992,617.92
  5. Step 5: Solve for x
    x = 4,684,992,617.92/90,642.69
  6. Step 6: Final answer
    x = 51,686.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.