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Finding the Fourth Proportional to 121,695.72, 167,811.09 and 83,510.95

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Solution

The fourth proportional to 121,695.72, 167,811.09 and 83,510.95 is: 115,156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,695.72 : 167,811.09 = 83,510.95 : x
  2. Step 2: Convert to fraction form
    121,695.72/167,811.09 = 83,510.95/x
  3. Step 3: Cross multiply
    121,695.72x = 167,811.09 × 83,510.95
  4. Step 4: Simplify right side
    121,695.72x = 14,014,063,598.14
  5. Step 5: Solve for x
    x = 14,014,063,598.14/121,695.72
  6. Step 6: Final answer
    x = 115,156.59

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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.