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Finding the Fourth Proportional to 72,728.40, 109,044 and 58,705.68

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Solution

The fourth proportional to 72,728.40, 109,044 and 58,705.68 is: 88,019.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,728.40 : 109,044 = 58,705.68 : x
  2. Step 2: Convert to fraction form
    72,728.40/109,044 = 58,705.68/x
  3. Step 3: Cross multiply
    72,728.40x = 109,044 × 58,705.68
  4. Step 4: Simplify right side
    72,728.40x = 6,401,502,169.92
  5. Step 5: Solve for x
    x = 6,401,502,169.92/72,728.40
  6. Step 6: Final answer
    x = 88,019.29

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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.