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Finding the Fourth Proportional to 65,388.54, 90,212.95 and 42,740.58

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Solution

The fourth proportional to 65,388.54, 90,212.95 and 42,740.58 is: 58,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,388.54 : 90,212.95 = 42,740.58 : x
  2. Step 2: Convert to fraction form
    65,388.54/90,212.95 = 42,740.58/x
  3. Step 3: Cross multiply
    65,388.54x = 90,212.95 × 42,740.58
  4. Step 4: Simplify right side
    65,388.54x = 3,855,754,198.24
  5. Step 5: Solve for x
    x = 3,855,754,198.24/65,388.54
  6. Step 6: Final answer
    x = 58,966.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.