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Finding the Fourth Proportional to 90,322.60, 124,641.66 and 49,486

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Solution

The fourth proportional to 90,322.60, 124,641.66 and 49,486 is: 68,288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,322.60 : 124,641.66 = 49,486 : x
  2. Step 2: Convert to fraction form
    90,322.60/124,641.66 = 49,486/x
  3. Step 3: Cross multiply
    90,322.60x = 124,641.66 × 49,486
  4. Step 4: Simplify right side
    90,322.60x = 6,168,017,186.76
  5. Step 5: Solve for x
    x = 6,168,017,186.76/90,322.60
  6. Step 6: Final answer
    x = 68,288.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.