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Finding the Fourth Proportional to 72,705.60, 109,058.20 and 22,785.91

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Solution

The fourth proportional to 72,705.60, 109,058.20 and 22,785.91 is: 34,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,705.60 : 109,058.20 = 22,785.91 : x
  2. Step 2: Convert to fraction form
    72,705.60/109,058.20 = 22,785.91/x
  3. Step 3: Cross multiply
    72,705.60x = 109,058.20 × 22,785.91
  4. Step 4: Simplify right side
    72,705.60x = 2,484,990,000.35
  5. Step 5: Solve for x
    x = 2,484,990,000.35/72,705.60
  6. Step 6: Final answer
    x = 34,178.80

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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.