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Finding the Fourth Proportional to 72,913.52, 109,376.32 and 20,323.52

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Solution

The fourth proportional to 72,913.52, 109,376.32 and 20,323.52 is: 30,486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,913.52 : 109,376.32 = 20,323.52 : x
  2. Step 2: Convert to fraction form
    72,913.52/109,376.32 = 20,323.52/x
  3. Step 3: Cross multiply
    72,913.52x = 109,376.32 × 20,323.52
  4. Step 4: Simplify right side
    72,913.52x = 2,222,911,827.05
  5. Step 5: Solve for x
    x = 2,222,911,827.05/72,913.52
  6. Step 6: Final answer
    x = 30,486.96

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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.