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Finding the Fourth Proportional to 191,893.02, 287,839.53 and 51,648

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Solution

The fourth proportional to 191,893.02, 287,839.53 and 51,648 is: 77,472

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,893.02 : 287,839.53 = 51,648 : x
  2. Step 2: Convert to fraction form
    191,893.02/287,839.53 = 51,648/x
  3. Step 3: Cross multiply
    191,893.02x = 287,839.53 × 51,648
  4. Step 4: Simplify right side
    191,893.02x = 14,866,336,045.44
  5. Step 5: Solve for x
    x = 14,866,336,045.44/191,893.02
  6. Step 6: Final answer
    x = 77,472

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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.