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Finding the Fourth Proportional to 191,496.04, 287,114.46 and 66,769

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Solution

The fourth proportional to 191,496.04, 287,114.46 and 66,769 is: 100,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,496.04 : 287,114.46 = 66,769 : x
  2. Step 2: Convert to fraction form
    191,496.04/287,114.46 = 66,769/x
  3. Step 3: Cross multiply
    191,496.04x = 287,114.46 × 66,769
  4. Step 4: Simplify right side
    191,496.04x = 19,170,345,379.74
  5. Step 5: Solve for x
    x = 19,170,345,379.74/191,496.04
  6. Step 6: Final answer
    x = 100,108.31

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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.