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Finding the Fourth Proportional to 209,763.74, 314,691.18 and 76,643.79

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Solution

The fourth proportional to 209,763.74, 314,691.18 and 76,643.79 is: 114,982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,763.74 : 314,691.18 = 76,643.79 : x
  2. Step 2: Convert to fraction form
    209,763.74/314,691.18 = 76,643.79/x
  3. Step 3: Cross multiply
    209,763.74x = 314,691.18 × 76,643.79
  4. Step 4: Simplify right side
    209,763.74x = 24,119,124,714.77
  5. Step 5: Solve for x
    x = 24,119,124,714.77/209,763.74
  6. Step 6: Final answer
    x = 114,982.34

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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.