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Finding the Fourth Proportional to 189,954.32, 284,848.36 and 90,143.12

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Solution

The fourth proportional to 189,954.32, 284,848.36 and 90,143.12 is: 135,175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,954.32 : 284,848.36 = 90,143.12 : x
  2. Step 2: Convert to fraction form
    189,954.32/284,848.36 = 90,143.12/x
  3. Step 3: Cross multiply
    189,954.32x = 284,848.36 × 90,143.12
  4. Step 4: Simplify right side
    189,954.32x = 25,677,119,897.28
  5. Step 5: Solve for x
    x = 25,677,119,897.28/189,954.32
  6. Step 6: Final answer
    x = 135,175.24

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1.5x scale

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.