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Finding the Fourth Proportional to 90,465.90, 135,711.24 and 31,285.68

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Solution

The fourth proportional to 90,465.90, 135,711.24 and 31,285.68 is: 46,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,465.90 : 135,711.24 = 31,285.68 : x
  2. Step 2: Convert to fraction form
    90,465.90/135,711.24 = 31,285.68/x
  3. Step 3: Cross multiply
    90,465.90x = 135,711.24 × 31,285.68
  4. Step 4: Simplify right side
    90,465.90x = 4,245,818,427.04
  5. Step 5: Solve for x
    x = 4,245,818,427.04/90,465.90
  6. Step 6: Final answer
    x = 46,932.80

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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.