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Finding the Fourth Proportional to 90,496.11, 135,823.37 and 48,409.71

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Solution

The fourth proportional to 90,496.11, 135,823.37 and 48,409.71 is: 72,656.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,496.11 : 135,823.37 = 48,409.71 : x
  2. Step 2: Convert to fraction form
    90,496.11/135,823.37 = 48,409.71/x
  3. Step 3: Cross multiply
    90,496.11x = 135,823.37 × 48,409.71
  4. Step 4: Simplify right side
    90,496.11x = 6,575,169,710.87
  5. Step 5: Solve for x
    x = 6,575,169,710.87/90,496.11
  6. Step 6: Final answer
    x = 72,656.93

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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.