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Finding the Fourth Proportional to 72,929.82, 109,409.40 and 23,017.62

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Solution

The fourth proportional to 72,929.82, 109,409.40 and 23,017.62 is: 34,531.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,929.82 : 109,409.40 = 23,017.62 : x
  2. Step 2: Convert to fraction form
    72,929.82/109,409.40 = 23,017.62/x
  3. Step 3: Cross multiply
    72,929.82x = 109,409.40 × 23,017.62
  4. Step 4: Simplify right side
    72,929.82x = 2,518,343,993.63
  5. Step 5: Solve for x
    x = 2,518,343,993.63/72,929.82
  6. Step 6: Final answer
    x = 34,531.06

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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.