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Finding the Fourth Proportional to 72,320.76, 99,802.80 and 40,491

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Solution

The fourth proportional to 72,320.76, 99,802.80 and 40,491 is: 55,877.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,320.76 : 99,802.80 = 40,491 : x
  2. Step 2: Convert to fraction form
    72,320.76/99,802.80 = 40,491/x
  3. Step 3: Cross multiply
    72,320.76x = 99,802.80 × 40,491
  4. Step 4: Simplify right side
    72,320.76x = 4,041,115,174.80
  5. Step 5: Solve for x
    x = 4,041,115,174.80/72,320.76
  6. Step 6: Final answer
    x = 55,877.66

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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.