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Finding the Fourth Proportional to 207,978.84, 312,007.14 and 83,329.56

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Solution

The fourth proportional to 207,978.84, 312,007.14 and 83,329.56 is: 125,009.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,978.84 : 312,007.14 = 83,329.56 : x
  2. Step 2: Convert to fraction form
    207,978.84/312,007.14 = 83,329.56/x
  3. Step 3: Cross multiply
    207,978.84x = 312,007.14 × 83,329.56
  4. Step 4: Simplify right side
    207,978.84x = 25,999,417,693.06
  5. Step 5: Solve for x
    x = 25,999,417,693.06/207,978.84
  6. Step 6: Final answer
    x = 125,009.92

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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.