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Finding the Fourth Proportional to 208,552.80, 312,823.28 and 100,457.76

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Solution

The fourth proportional to 208,552.80, 312,823.28 and 100,457.76 is: 150,683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,552.80 : 312,823.28 = 100,457.76 : x
  2. Step 2: Convert to fraction form
    208,552.80/312,823.28 = 100,457.76/x
  3. Step 3: Cross multiply
    208,552.80x = 312,823.28 × 100,457.76
  4. Step 4: Simplify right side
    208,552.80x = 31,425,525,984.65
  5. Step 5: Solve for x
    x = 31,425,525,984.65/208,552.80
  6. Step 6: Final answer
    x = 150,683.79

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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.