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Finding the Fourth Proportional to 209,963.60, 314,988.60 and 69,822.80

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Solution

The fourth proportional to 209,963.60, 314,988.60 and 69,822.80 is: 104,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,963.60 : 314,988.60 = 69,822.80 : x
  2. Step 2: Convert to fraction form
    209,963.60/314,988.60 = 69,822.80/x
  3. Step 3: Cross multiply
    209,963.60x = 314,988.60 × 69,822.80
  4. Step 4: Simplify right side
    209,963.60x = 21,993,386,020.08
  5. Step 5: Solve for x
    x = 21,993,386,020.08/209,963.60
  6. Step 6: Final answer
    x = 104,748.57

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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.