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Finding the Fourth Proportional to 191,678.76, 287,535.42 and 51,436.44

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Solution

The fourth proportional to 191,678.76, 287,535.42 and 51,436.44 is: 77,159.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,678.76 : 287,535.42 = 51,436.44 : x
  2. Step 2: Convert to fraction form
    191,678.76/287,535.42 = 51,436.44/x
  3. Step 3: Cross multiply
    191,678.76x = 287,535.42 × 51,436.44
  4. Step 4: Simplify right side
    191,678.76x = 14,789,798,378.70
  5. Step 5: Solve for x
    x = 14,789,798,378.70/191,678.76
  6. Step 6: Final answer
    x = 77,159.30

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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.