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Finding the Fourth Proportional to 172,032.78, 258,133.71 and 77,329.88

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Solution

The fourth proportional to 172,032.78, 258,133.71 and 77,329.88 is: 116,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,032.78 : 258,133.71 = 77,329.88 : x
  2. Step 2: Convert to fraction form
    172,032.78/258,133.71 = 77,329.88/x
  3. Step 3: Cross multiply
    172,032.78x = 258,133.71 × 77,329.88
  4. Step 4: Simplify right side
    172,032.78x = 19,961,447,527.59
  5. Step 5: Solve for x
    x = 19,961,447,527.59/172,032.78
  6. Step 6: Final answer
    x = 116,032.81

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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.