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Finding the Fourth Proportional to 90,632.68, 135,743.46 and 48,438.52

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Solution

The fourth proportional to 90,632.68, 135,743.46 and 48,438.52 is: 72,547.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,632.68 : 135,743.46 = 48,438.52 : x
  2. Step 2: Convert to fraction form
    90,632.68/135,743.46 = 48,438.52/x
  3. Step 3: Cross multiply
    90,632.68x = 135,743.46 × 48,438.52
  4. Step 4: Simplify right side
    90,632.68x = 6,575,212,302.08
  5. Step 5: Solve for x
    x = 6,575,212,302.08/90,632.68
  6. Step 6: Final answer
    x = 72,547.92

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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.