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Finding the Fourth Proportional to 172,658.04, 258,866.43 and 76,542.98

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Solution

The fourth proportional to 172,658.04, 258,866.43 and 76,542.98 is: 114,760.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,658.04 : 258,866.43 = 76,542.98 : x
  2. Step 2: Convert to fraction form
    172,658.04/258,866.43 = 76,542.98/x
  3. Step 3: Cross multiply
    172,658.04x = 258,866.43 × 76,542.98
  4. Step 4: Simplify right side
    172,658.04x = 19,814,406,679.83
  5. Step 5: Solve for x
    x = 19,814,406,679.83/172,658.04
  6. Step 6: Final answer
    x = 114,760.98

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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.