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Finding the Fourth Proportional to 253,271, 380,037.72 and 128,612

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Solution

The fourth proportional to 253,271, 380,037.72 and 128,612 is: 192,984.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,271 : 380,037.72 = 128,612 : x
  2. Step 2: Convert to fraction form
    253,271/380,037.72 = 128,612/x
  3. Step 3: Cross multiply
    253,271x = 380,037.72 × 128,612
  4. Step 4: Simplify right side
    253,271x = 48,877,411,244.64
  5. Step 5: Solve for x
    x = 48,877,411,244.64/253,271
  6. Step 6: Final answer
    x = 192,984.63

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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.