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Finding the Fourth Proportional to 209,158.48, 313,562.48 and 145,792.72

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Solution

The fourth proportional to 209,158.48, 313,562.48 and 145,792.72 is: 218,566.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,158.48 : 313,562.48 = 145,792.72 : x
  2. Step 2: Convert to fraction form
    209,158.48/313,562.48 = 145,792.72/x
  3. Step 3: Cross multiply
    209,158.48x = 313,562.48 × 145,792.72
  4. Step 4: Simplify right side
    209,158.48x = 45,715,126,849.15
  5. Step 5: Solve for x
    x = 45,715,126,849.15/209,158.48
  6. Step 6: Final answer
    x = 218,566.93

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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.