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Finding the Fourth Proportional to 69,802.16, 104,642.76 and 28,222.16

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Solution

The fourth proportional to 69,802.16, 104,642.76 and 28,222.16 is: 42,308.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,802.16 : 104,642.76 = 28,222.16 : x
  2. Step 2: Convert to fraction form
    69,802.16/104,642.76 = 28,222.16/x
  3. Step 3: Cross multiply
    69,802.16x = 104,642.76 × 28,222.16
  4. Step 4: Simplify right side
    69,802.16x = 2,953,244,715.56
  5. Step 5: Solve for x
    x = 2,953,244,715.56/69,802.16
  6. Step 6: Final answer
    x = 42,308.79

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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.