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Finding the Fourth Proportional to 90,364.30, 135,547.81 and 23,811.15

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Solution

The fourth proportional to 90,364.30, 135,547.81 and 23,811.15 is: 35,717.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,364.30 : 135,547.81 = 23,811.15 : x
  2. Step 2: Convert to fraction form
    90,364.30/135,547.81 = 23,811.15/x
  3. Step 3: Cross multiply
    90,364.30x = 135,547.81 × 23,811.15
  4. Step 4: Simplify right side
    90,364.30x = 3,227,549,236.08
  5. Step 5: Solve for x
    x = 3,227,549,236.08/90,364.30
  6. Step 6: Final answer
    x = 35,717.08

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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.