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Finding the Fourth Proportional to 90,430.60, 124,797.30 and 50,142

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Solution

The fourth proportional to 90,430.60, 124,797.30 and 50,142 is: 69,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,430.60 : 124,797.30 = 50,142 : x
  2. Step 2: Convert to fraction form
    90,430.60/124,797.30 = 50,142/x
  3. Step 3: Cross multiply
    90,430.60x = 124,797.30 × 50,142
  4. Step 4: Simplify right side
    90,430.60x = 6,257,586,216.60
  5. Step 5: Solve for x
    x = 6,257,586,216.60/90,430.60
  6. Step 6: Final answer
    x = 69,197.66

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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.