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Finding the Fourth Proportional to 209,938.16, 314,907.24 and 69,696.78

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Solution

The fourth proportional to 209,938.16, 314,907.24 and 69,696.78 is: 104,545.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,938.16 : 314,907.24 = 69,696.78 : x
  2. Step 2: Convert to fraction form
    209,938.16/314,907.24 = 69,696.78/x
  3. Step 3: Cross multiply
    209,938.16x = 314,907.24 × 69,696.78
  4. Step 4: Simplify right side
    209,938.16x = 21,948,021,776.11
  5. Step 5: Solve for x
    x = 21,948,021,776.11/209,938.16
  6. Step 6: Final answer
    x = 104,545.18

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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.