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Finding the Fourth Proportional to 208,035.66, 312,066.45 and 83,360.46

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Solution

The fourth proportional to 208,035.66, 312,066.45 and 83,360.46 is: 125,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,035.66 : 312,066.45 = 83,360.46 : x
  2. Step 2: Convert to fraction form
    208,035.66/312,066.45 = 83,360.46/x
  3. Step 3: Cross multiply
    208,035.66x = 312,066.45 × 83,360.46
  4. Step 4: Simplify right side
    208,035.66x = 26,014,002,822.57
  5. Step 5: Solve for x
    x = 26,014,002,822.57/208,035.66
  6. Step 6: Final answer
    x = 125,045.88

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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.