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Finding the Fourth Proportional to 209,323.31, 314,022.62 and 76,390.16

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Solution

The fourth proportional to 209,323.31, 314,022.62 and 76,390.16 is: 114,598.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,323.31 : 314,022.62 = 76,390.16 : x
  2. Step 2: Convert to fraction form
    209,323.31/314,022.62 = 76,390.16/x
  3. Step 3: Cross multiply
    209,323.31x = 314,022.62 × 76,390.16
  4. Step 4: Simplify right side
    209,323.31x = 23,988,236,806.28
  5. Step 5: Solve for x
    x = 23,988,236,806.28/209,323.31
  6. Step 6: Final answer
    x = 114,598.98

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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.