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Finding the Fourth Proportional to 72,987.76, 109,498.02 and 23,070.76

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Solution

The fourth proportional to 72,987.76, 109,498.02 and 23,070.76 is: 34,611.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,987.76 : 109,498.02 = 23,070.76 : x
  2. Step 2: Convert to fraction form
    72,987.76/109,498.02 = 23,070.76/x
  3. Step 3: Cross multiply
    72,987.76x = 109,498.02 × 23,070.76
  4. Step 4: Simplify right side
    72,987.76x = 2,526,202,539.90
  5. Step 5: Solve for x
    x = 2,526,202,539.90/72,987.76
  6. Step 6: Final answer
    x = 34,611.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.