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Finding the Fourth Proportional to 72,989.26, 109,483.70 and 17,585.26

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Solution

The fourth proportional to 72,989.26, 109,483.70 and 17,585.26 is: 26,377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,989.26 : 109,483.70 = 17,585.26 : x
  2. Step 2: Convert to fraction form
    72,989.26/109,483.70 = 17,585.26/x
  3. Step 3: Cross multiply
    72,989.26x = 109,483.70 × 17,585.26
  4. Step 4: Simplify right side
    72,989.26x = 1,925,299,330.26
  5. Step 5: Solve for x
    x = 1,925,299,330.26/72,989.26
  6. Step 6: Final answer
    x = 26,377.84

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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.