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Finding the Fourth Proportional to 209,562.57, 314,208.54 and 89,697.78

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Solution

The fourth proportional to 209,562.57, 314,208.54 and 89,697.78 is: 134,488.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,562.57 : 314,208.54 = 89,697.78 : x
  2. Step 2: Convert to fraction form
    209,562.57/314,208.54 = 89,697.78/x
  3. Step 3: Cross multiply
    209,562.57x = 314,208.54 × 89,697.78
  4. Step 4: Simplify right side
    209,562.57x = 28,183,808,495.04
  5. Step 5: Solve for x
    x = 28,183,808,495.04/209,562.57
  6. Step 6: Final answer
    x = 134,488.75

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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.