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Finding the Fourth Proportional to 189,393.84, 284,003.28 and 70,980.48

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Solution

The fourth proportional to 189,393.84, 284,003.28 and 70,980.48 is: 106,437.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,393.84 : 284,003.28 = 70,980.48 : x
  2. Step 2: Convert to fraction form
    189,393.84/284,003.28 = 70,980.48/x
  3. Step 3: Cross multiply
    189,393.84x = 284,003.28 × 70,980.48
  4. Step 4: Simplify right side
    189,393.84x = 20,158,689,135.97
  5. Step 5: Solve for x
    x = 20,158,689,135.97/189,393.84
  6. Step 6: Final answer
    x = 106,437.93

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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.