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Finding the Fourth Proportional to 42,699.84, 64,081.22 and 20,526

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Solution

The fourth proportional to 42,699.84, 64,081.22 and 20,526 is: 30,804.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,699.84 : 64,081.22 = 20,526 : x
  2. Step 2: Convert to fraction form
    42,699.84/64,081.22 = 20,526/x
  3. Step 3: Cross multiply
    42,699.84x = 64,081.22 × 20,526
  4. Step 4: Simplify right side
    42,699.84x = 1,315,331,121.72
  5. Step 5: Solve for x
    x = 1,315,331,121.72/42,699.84
  6. Step 6: Final answer
    x = 30,804.12

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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.