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Finding the Fourth Proportional to 171,355.70, 257,005.20 and 57,502.10

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Solution

The fourth proportional to 171,355.70, 257,005.20 and 57,502.10 is: 86,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,355.70 : 257,005.20 = 57,502.10 : x
  2. Step 2: Convert to fraction form
    171,355.70/257,005.20 = 57,502.10/x
  3. Step 3: Cross multiply
    171,355.70x = 257,005.20 × 57,502.10
  4. Step 4: Simplify right side
    171,355.70x = 14,778,338,710.92
  5. Step 5: Solve for x
    x = 14,778,338,710.92/171,355.70
  6. Step 6: Final answer
    x = 86,243.64

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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.