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Finding the Fourth Proportional to 72,771.19, 109,152.33 and 42,802

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Solution

The fourth proportional to 72,771.19, 109,152.33 and 42,802 is: 64,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,771.19 : 109,152.33 = 42,802 : x
  2. Step 2: Convert to fraction form
    72,771.19/109,152.33 = 42,802/x
  3. Step 3: Cross multiply
    72,771.19x = 109,152.33 × 42,802
  4. Step 4: Simplify right side
    72,771.19x = 4,671,938,028.66
  5. Step 5: Solve for x
    x = 4,671,938,028.66/72,771.19
  6. Step 6: Final answer
    x = 64,200.38

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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.