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Finding the Fourth Proportional to 189,915.16, 284,741.52 and 83,247.88

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Solution

The fourth proportional to 189,915.16, 284,741.52 and 83,247.88 is: 124,814.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,915.16 : 284,741.52 = 83,247.88 : x
  2. Step 2: Convert to fraction form
    189,915.16/284,741.52 = 83,247.88/x
  3. Step 3: Cross multiply
    189,915.16x = 284,741.52 × 83,247.88
  4. Step 4: Simplify right side
    189,915.16x = 23,704,127,887.98
  5. Step 5: Solve for x
    x = 23,704,127,887.98/189,915.16
  6. Step 6: Final answer
    x = 124,814.30

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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.