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Finding the Fourth Proportional to 209,486.39, 314,385.48 and 102,927.55

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Solution

The fourth proportional to 209,486.39, 314,385.48 and 102,927.55 is: 154,467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,486.39 : 314,385.48 = 102,927.55 : x
  2. Step 2: Convert to fraction form
    209,486.39/314,385.48 = 102,927.55/x
  3. Step 3: Cross multiply
    209,486.39x = 314,385.48 × 102,927.55
  4. Step 4: Simplify right side
    209,486.39x = 32,358,927,211.97
  5. Step 5: Solve for x
    x = 32,358,927,211.97/209,486.39
  6. Step 6: Final answer
    x = 154,467.92

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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.