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Finding the Fourth Proportional to 122,931.75, 169,615.62 and 75,167.67

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Solution

The fourth proportional to 122,931.75, 169,615.62 and 75,167.67 is: 103,712.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,931.75 : 169,615.62 = 75,167.67 : x
  2. Step 2: Convert to fraction form
    122,931.75/169,615.62 = 75,167.67/x
  3. Step 3: Cross multiply
    122,931.75x = 169,615.62 × 75,167.67
  4. Step 4: Simplify right side
    122,931.75x = 12,749,610,951.01
  5. Step 5: Solve for x
    x = 12,749,610,951.01/122,931.75
  6. Step 6: Final answer
    x = 103,712.92

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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.