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Finding the Fourth Proportional to 209,909.30, 314,863.95 and 85,339.70

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Solution

The fourth proportional to 209,909.30, 314,863.95 and 85,339.70 is: 128,009.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,909.30 : 314,863.95 = 85,339.70 : x
  2. Step 2: Convert to fraction form
    209,909.30/314,863.95 = 85,339.70/x
  3. Step 3: Cross multiply
    209,909.30x = 314,863.95 × 85,339.70
  4. Step 4: Simplify right side
    209,909.30x = 26,870,395,033.82
  5. Step 5: Solve for x
    x = 26,870,395,033.82/209,909.30
  6. Step 6: Final answer
    x = 128,009.55

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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.