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Finding the Fourth Proportional to 209,281.02, 288,807.41 and 113,787.48

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Solution

The fourth proportional to 209,281.02, 288,807.41 and 113,787.48 is: 157,026.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,281.02 : 288,807.41 = 113,787.48 : x
  2. Step 2: Convert to fraction form
    209,281.02/288,807.41 = 113,787.48/x
  3. Step 3: Cross multiply
    209,281.02x = 288,807.41 × 113,787.48
  4. Step 4: Simplify right side
    209,281.02x = 32,862,668,116.67
  5. Step 5: Solve for x
    x = 32,862,668,116.67/209,281.02
  6. Step 6: Final answer
    x = 157,026.51

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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.