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Finding the Fourth Proportional to 90,461.80, 135,692.70 and 31,277.80

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Solution

The fourth proportional to 90,461.80, 135,692.70 and 31,277.80 is: 46,916.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,461.80 : 135,692.70 = 31,277.80 : x
  2. Step 2: Convert to fraction form
    90,461.80/135,692.70 = 31,277.80/x
  3. Step 3: Cross multiply
    90,461.80x = 135,692.70 × 31,277.80
  4. Step 4: Simplify right side
    90,461.80x = 4,244,169,132.06
  5. Step 5: Solve for x
    x = 4,244,169,132.06/90,461.80
  6. Step 6: Final answer
    x = 46,916.70

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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.