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Finding the Fourth Proportional to 90,491.80, 135,705.18 and 31,311.40

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Solution

The fourth proportional to 90,491.80, 135,705.18 and 31,311.40 is: 46,955.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,491.80 : 135,705.18 = 31,311.40 : x
  2. Step 2: Convert to fraction form
    90,491.80/135,705.18 = 31,311.40/x
  3. Step 3: Cross multiply
    90,491.80x = 135,705.18 × 31,311.40
  4. Step 4: Simplify right side
    90,491.80x = 4,249,119,173.05
  5. Step 5: Solve for x
    x = 4,249,119,173.05/90,491.80
  6. Step 6: Final answer
    x = 46,955.85

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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.