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Finding the Fourth Proportional to 209,178.83, 288,669.02 and 113,685.53

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Solution

The fourth proportional to 209,178.83, 288,669.02 and 113,685.53 is: 156,887.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,178.83 : 288,669.02 = 113,685.53 : x
  2. Step 2: Convert to fraction form
    209,178.83/288,669.02 = 113,685.53/x
  3. Step 3: Cross multiply
    209,178.83x = 288,669.02 × 113,685.53
  4. Step 4: Simplify right side
    209,178.83x = 32,817,488,521.51
  5. Step 5: Solve for x
    x = 32,817,488,521.51/209,178.83
  6. Step 6: Final answer
    x = 156,887.24

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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.