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Finding the Fourth Proportional to 209,275.29, 288,811.71 and 113,779.94

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Solution

The fourth proportional to 209,275.29, 288,811.71 and 113,779.94 is: 157,022.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,275.29 : 288,811.71 = 113,779.94 : x
  2. Step 2: Convert to fraction form
    209,275.29/288,811.71 = 113,779.94/x
  3. Step 3: Cross multiply
    209,275.29x = 288,811.71 × 113,779.94
  4. Step 4: Simplify right side
    209,275.29x = 32,860,977,591.04
  5. Step 5: Solve for x
    x = 32,860,977,591.04/209,275.29
  6. Step 6: Final answer
    x = 157,022.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.