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Finding the Fourth Proportional to 76,688.52, 115,032.80 and 21,284.52

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Solution

The fourth proportional to 76,688.52, 115,032.80 and 21,284.52 is: 31,926.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,688.52 : 115,032.80 = 21,284.52 : x
  2. Step 2: Convert to fraction form
    76,688.52/115,032.80 = 21,284.52/x
  3. Step 3: Cross multiply
    76,688.52x = 115,032.80 × 21,284.52
  4. Step 4: Simplify right side
    76,688.52x = 2,448,417,932.26
  5. Step 5: Solve for x
    x = 2,448,417,932.26/76,688.52
  6. Step 6: Final answer
    x = 31,926.79

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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.