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Finding the Fourth Proportional to 172,587.24, 258,829.56 and 77,762.70

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Solution

The fourth proportional to 172,587.24, 258,829.56 and 77,762.70 is: 116,620.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,587.24 : 258,829.56 = 77,762.70 : x
  2. Step 2: Convert to fraction form
    172,587.24/258,829.56 = 77,762.70/x
  3. Step 3: Cross multiply
    172,587.24x = 258,829.56 × 77,762.70
  4. Step 4: Simplify right side
    172,587.24x = 20,127,285,425.41
  5. Step 5: Solve for x
    x = 20,127,285,425.41/172,587.24
  6. Step 6: Final answer
    x = 116,620.94

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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.