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Finding the Fourth Proportional to 145,996, 201,474.66 and 78,928

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Solution

The fourth proportional to 145,996, 201,474.66 and 78,928 is: 108,920.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,996 : 201,474.66 = 78,928 : x
  2. Step 2: Convert to fraction form
    145,996/201,474.66 = 78,928/x
  3. Step 3: Cross multiply
    145,996x = 201,474.66 × 78,928
  4. Step 4: Simplify right side
    145,996x = 15,901,991,964.48
  5. Step 5: Solve for x
    x = 15,901,991,964.48/145,996
  6. Step 6: Final answer
    x = 108,920.74

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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.