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Finding the Fourth Proportional to 208,077.68, 311,929.14 and 74,864.28

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Solution

The fourth proportional to 208,077.68, 311,929.14 and 74,864.28 is: 112,229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,077.68 : 311,929.14 = 74,864.28 : x
  2. Step 2: Convert to fraction form
    208,077.68/311,929.14 = 74,864.28/x
  3. Step 3: Cross multiply
    208,077.68x = 311,929.14 × 74,864.28
  4. Step 4: Simplify right side
    208,077.68x = 23,352,350,477.12
  5. Step 5: Solve for x
    x = 23,352,350,477.12/208,077.68
  6. Step 6: Final answer
    x = 112,229.00

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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.