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Finding the Fourth Proportional to 170,838.42, 256,261.73 and 52,510.78

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Solution

The fourth proportional to 170,838.42, 256,261.73 and 52,510.78 is: 78,767.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,838.42 : 256,261.73 = 52,510.78 : x
  2. Step 2: Convert to fraction form
    170,838.42/256,261.73 = 52,510.78/x
  3. Step 3: Cross multiply
    170,838.42x = 256,261.73 × 52,510.78
  4. Step 4: Simplify right side
    170,838.42x = 13,456,503,384.22
  5. Step 5: Solve for x
    x = 13,456,503,384.22/170,838.42
  6. Step 6: Final answer
    x = 78,767.43

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1.5x scale

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.