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Finding the Fourth Proportional to 189,878.40, 284,587.20 and 84,585.60

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Solution

The fourth proportional to 189,878.40, 284,587.20 and 84,585.60 is: 126,775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,878.40 : 284,587.20 = 84,585.60 : x
  2. Step 2: Convert to fraction form
    189,878.40/284,587.20 = 84,585.60/x
  3. Step 3: Cross multiply
    189,878.40x = 284,587.20 × 84,585.60
  4. Step 4: Simplify right side
    189,878.40x = 24,071,979,064.32
  5. Step 5: Solve for x
    x = 24,071,979,064.32/189,878.40
  6. Step 6: Final answer
    x = 126,775.76

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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.