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Finding the Fourth Proportional to 189,608.26, 284,459.18 and 56,488

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Solution

The fourth proportional to 189,608.26, 284,459.18 and 56,488 is: 84,745.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,608.26 : 284,459.18 = 56,488 : x
  2. Step 2: Convert to fraction form
    189,608.26/284,459.18 = 56,488/x
  3. Step 3: Cross multiply
    189,608.26x = 284,459.18 × 56,488
  4. Step 4: Simplify right side
    189,608.26x = 16,068,530,159.84
  5. Step 5: Solve for x
    x = 16,068,530,159.84/189,608.26
  6. Step 6: Final answer
    x = 84,745.94

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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.