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Finding the Fourth Proportional to 75,802.80, 104,607.84 and 43,974

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Solution

The fourth proportional to 75,802.80, 104,607.84 and 43,974 is: 60,684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,802.80 : 104,607.84 = 43,974 : x
  2. Step 2: Convert to fraction form
    75,802.80/104,607.84 = 43,974/x
  3. Step 3: Cross multiply
    75,802.80x = 104,607.84 × 43,974
  4. Step 4: Simplify right side
    75,802.80x = 4,600,025,156.16
  5. Step 5: Solve for x
    x = 4,600,025,156.16/75,802.80
  6. Step 6: Final answer
    x = 60,684.11

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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.