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Finding the Fourth Proportional to 191,643.30, 287,466.04 and 49,478.86

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Solution

The fourth proportional to 191,643.30, 287,466.04 and 49,478.86 is: 74,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,643.30 : 287,466.04 = 49,478.86 : x
  2. Step 2: Convert to fraction form
    191,643.30/287,466.04 = 49,478.86/x
  3. Step 3: Cross multiply
    191,643.30x = 287,466.04 × 49,478.86
  4. Step 4: Simplify right side
    191,643.30x = 14,223,491,947.91
  5. Step 5: Solve for x
    x = 14,223,491,947.91/191,643.30
  6. Step 6: Final answer
    x = 74,218.57

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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.