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Finding the Fourth Proportional to 90,643.40, 135,965.10 and 89,987.30

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Solution

The fourth proportional to 90,643.40, 135,965.10 and 89,987.30 is: 134,980.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,643.40 : 135,965.10 = 89,987.30 : x
  2. Step 2: Convert to fraction form
    90,643.40/135,965.10 = 89,987.30/x
  3. Step 3: Cross multiply
    90,643.40x = 135,965.10 × 89,987.30
  4. Step 4: Simplify right side
    90,643.40x = 12,235,132,243.23
  5. Step 5: Solve for x
    x = 12,235,132,243.23/90,643.40
  6. Step 6: Final answer
    x = 134,980.95

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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.