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Finding the Fourth Proportional to 90,461.40, 135,692.10 and 31,290.90

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Solution

The fourth proportional to 90,461.40, 135,692.10 and 31,290.90 is: 46,936.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,461.40 : 135,692.10 = 31,290.90 : x
  2. Step 2: Convert to fraction form
    90,461.40/135,692.10 = 31,290.90/x
  3. Step 3: Cross multiply
    90,461.40x = 135,692.10 × 31,290.90
  4. Step 4: Simplify right side
    90,461.40x = 4,245,927,931.89
  5. Step 5: Solve for x
    x = 4,245,927,931.89/90,461.40
  6. Step 6: Final answer
    x = 46,936.35

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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.