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Finding the Fourth Proportional to 72,878.16, 109,323.54 and 20,288.28

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Solution

The fourth proportional to 72,878.16, 109,323.54 and 20,288.28 is: 30,434.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,878.16 : 109,323.54 = 20,288.28 : x
  2. Step 2: Convert to fraction form
    72,878.16/109,323.54 = 20,288.28/x
  3. Step 3: Cross multiply
    72,878.16x = 109,323.54 × 20,288.28
  4. Step 4: Simplify right side
    72,878.16x = 2,217,986,590.11
  5. Step 5: Solve for x
    x = 2,217,986,590.11/72,878.16
  6. Step 6: Final answer
    x = 30,434.17

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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.