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Finding the Fourth Proportional to 103,283, 154,894.47 and 43,309.82

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Solution

The fourth proportional to 103,283, 154,894.47 and 43,309.82 is: 64,952.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,283 : 154,894.47 = 43,309.82 : x
  2. Step 2: Convert to fraction form
    103,283/154,894.47 = 43,309.82/x
  3. Step 3: Cross multiply
    103,283x = 154,894.47 × 43,309.82
  4. Step 4: Simplify right side
    103,283x = 6,708,451,614.70
  5. Step 5: Solve for x
    x = 6,708,451,614.70/103,283
  6. Step 6: Final answer
    x = 64,952.14

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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.