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Finding the Fourth Proportional to 209,929.98, 314,882 and 85,267.74

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Solution

The fourth proportional to 209,929.98, 314,882 and 85,267.74 is: 127,896.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,929.98 : 314,882 = 85,267.74 : x
  2. Step 2: Convert to fraction form
    209,929.98/314,882 = 85,267.74/x
  3. Step 3: Cross multiply
    209,929.98x = 314,882 × 85,267.74
  4. Step 4: Simplify right side
    209,929.98x = 26,849,276,506.68
  5. Step 5: Solve for x
    x = 26,849,276,506.68/209,929.98
  6. Step 6: Final answer
    x = 127,896.34

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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.