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Finding the Fourth Proportional to 122,987.16, 169,764.76 and 72,016.29

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Solution

The fourth proportional to 122,987.16, 169,764.76 and 72,016.29 is: 99,407.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,987.16 : 169,764.76 = 72,016.29 : x
  2. Step 2: Convert to fraction form
    122,987.16/169,764.76 = 72,016.29/x
  3. Step 3: Cross multiply
    122,987.16x = 169,764.76 × 72,016.29
  4. Step 4: Simplify right side
    122,987.16x = 12,225,828,277.96
  5. Step 5: Solve for x
    x = 12,225,828,277.96/122,987.16
  6. Step 6: Final answer
    x = 99,407.36

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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.