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Finding the Fourth Proportional to 208,344.16, 312,530.82 and 103,134.88

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Solution

The fourth proportional to 208,344.16, 312,530.82 and 103,134.88 is: 154,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,344.16 : 312,530.82 = 103,134.88 : x
  2. Step 2: Convert to fraction form
    208,344.16/312,530.82 = 103,134.88/x
  3. Step 3: Cross multiply
    208,344.16x = 312,530.82 × 103,134.88
  4. Step 4: Simplify right side
    208,344.16x = 32,232,828,617.00
  5. Step 5: Solve for x
    x = 32,232,828,617.00/208,344.16
  6. Step 6: Final answer
    x = 154,709.54

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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.