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Finding the Fourth Proportional to 133,154.42, 183,745.65 and 75,807.71

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Solution

The fourth proportional to 133,154.42, 183,745.65 and 75,807.71 is: 104,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,154.42 : 183,745.65 = 75,807.71 : x
  2. Step 2: Convert to fraction form
    133,154.42/183,745.65 = 75,807.71/x
  3. Step 3: Cross multiply
    133,154.42x = 183,745.65 × 75,807.71
  4. Step 4: Simplify right side
    133,154.42x = 13,929,335,651.19
  5. Step 5: Solve for x
    x = 13,929,335,651.19/133,154.42
  6. Step 6: Final answer
    x = 104,610.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.