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Finding the Fourth Proportional to 189,857.80, 284,829.90 and 110,931.40

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Solution

The fourth proportional to 189,857.80, 284,829.90 and 110,931.40 is: 166,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,857.80 : 284,829.90 = 110,931.40 : x
  2. Step 2: Convert to fraction form
    189,857.80/284,829.90 = 110,931.40/x
  3. Step 3: Cross multiply
    189,857.80x = 284,829.90 × 110,931.40
  4. Step 4: Simplify right side
    189,857.80x = 31,596,579,568.86
  5. Step 5: Solve for x
    x = 31,596,579,568.86/189,857.80
  6. Step 6: Final answer
    x = 166,422.34

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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.