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Finding the Fourth Proportional to 72,821.84, 100,494.16 and 42,612.96

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Solution

The fourth proportional to 72,821.84, 100,494.16 and 42,612.96 is: 58,805.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,821.84 : 100,494.16 = 42,612.96 : x
  2. Step 2: Convert to fraction form
    72,821.84/100,494.16 = 42,612.96/x
  3. Step 3: Cross multiply
    72,821.84x = 100,494.16 × 42,612.96
  4. Step 4: Simplify right side
    72,821.84x = 4,282,353,890.63
  5. Step 5: Solve for x
    x = 4,282,353,890.63/72,821.84
  6. Step 6: Final answer
    x = 58,805.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.