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Finding the Fourth Proportional to 103,083.66, 154,655.46 and 43,140.42

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Solution

The fourth proportional to 103,083.66, 154,655.46 and 43,140.42 is: 64,723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,083.66 : 154,655.46 = 43,140.42 : x
  2. Step 2: Convert to fraction form
    103,083.66/154,655.46 = 43,140.42/x
  3. Step 3: Cross multiply
    103,083.66x = 154,655.46 × 43,140.42
  4. Step 4: Simplify right side
    103,083.66x = 6,671,901,499.69
  5. Step 5: Solve for x
    x = 6,671,901,499.69/103,083.66
  6. Step 6: Final answer
    x = 64,723.17

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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.