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Finding the Fourth Proportional to 72,989.28, 109,483.68 and 17,585.28

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Solution

The fourth proportional to 72,989.28, 109,483.68 and 17,585.28 is: 26,377.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,989.28 : 109,483.68 = 17,585.28 : x
  2. Step 2: Convert to fraction form
    72,989.28/109,483.68 = 17,585.28/x
  3. Step 3: Cross multiply
    72,989.28x = 109,483.68 × 17,585.28
  4. Step 4: Simplify right side
    72,989.28x = 1,925,301,168.23
  5. Step 5: Solve for x
    x = 1,925,301,168.23/72,989.28
  6. Step 6: Final answer
    x = 26,377.86

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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.