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Finding the Fourth Proportional to 90,362.59, 124,701.07 and 50,077

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Solution

The fourth proportional to 90,362.59, 124,701.07 and 50,077 is: 69,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,362.59 : 124,701.07 = 50,077 : x
  2. Step 2: Convert to fraction form
    90,362.59/124,701.07 = 50,077/x
  3. Step 3: Cross multiply
    90,362.59x = 124,701.07 × 50,077
  4. Step 4: Simplify right side
    90,362.59x = 6,244,655,482.39
  5. Step 5: Solve for x
    x = 6,244,655,482.39/90,362.59
  6. Step 6: Final answer
    x = 69,106.65

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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.