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Finding the Fourth Proportional to 189,379.69, 284,117.11 and 54,444.00

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Solution

The fourth proportional to 189,379.69, 284,117.11 and 54,444.00 is: 81,679.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,379.69 : 284,117.11 = 54,444.00 : x
  2. Step 2: Convert to fraction form
    189,379.69/284,117.11 = 54,444.00/x
  3. Step 3: Cross multiply
    189,379.69x = 284,117.11 × 54,444.00
  4. Step 4: Simplify right side
    189,379.69x = 15,468,472,866.17
  5. Step 5: Solve for x
    x = 15,468,472,866.17/189,379.69
  6. Step 6: Final answer
    x = 81,679.68

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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.