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Finding the Fourth Proportional to 114,281.78, 157,709.31 and 66,567.92

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Solution

The fourth proportional to 114,281.78, 157,709.31 and 66,567.92 is: 91,863.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,281.78 : 157,709.31 = 66,567.92 : x
  2. Step 2: Convert to fraction form
    114,281.78/157,709.31 = 66,567.92/x
  3. Step 3: Cross multiply
    114,281.78x = 157,709.31 × 66,567.92
  4. Step 4: Simplify right side
    114,281.78x = 10,498,380,731.34
  5. Step 5: Solve for x
    x = 10,498,380,731.34/114,281.78
  6. Step 6: Final answer
    x = 91,863.99

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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.