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Finding the Fourth Proportional to 171,384.16, 257,149.66 and 66,276.94

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Solution

The fourth proportional to 171,384.16, 257,149.66 and 66,276.94 is: 99,443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,384.16 : 257,149.66 = 66,276.94 : x
  2. Step 2: Convert to fraction form
    171,384.16/257,149.66 = 66,276.94/x
  3. Step 3: Cross multiply
    171,384.16x = 257,149.66 × 66,276.94
  4. Step 4: Simplify right side
    171,384.16x = 17,043,092,586.84
  5. Step 5: Solve for x
    x = 17,043,092,586.84/171,384.16
  6. Step 6: Final answer
    x = 99,443.80

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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.