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Finding the Fourth Proportional to 160,128, 240,192 and 43,392

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Solution

The fourth proportional to 160,128, 240,192 and 43,392 is: 65,088

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,128 : 240,192 = 43,392 : x
  2. Step 2: Convert to fraction form
    160,128/240,192 = 43,392/x
  3. Step 3: Cross multiply
    160,128x = 240,192 × 43,392
  4. Step 4: Simplify right side
    160,128x = 10,422,411,264
  5. Step 5: Solve for x
    x = 10,422,411,264/160,128
  6. Step 6: Final answer
    x = 65,088

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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.