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Finding the Fourth Proportional to 191,927.72, 287,942.63 and 65,567.78

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Solution

The fourth proportional to 191,927.72, 287,942.63 and 65,567.78 is: 98,369.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,927.72 : 287,942.63 = 65,567.78 : x
  2. Step 2: Convert to fraction form
    191,927.72/287,942.63 = 65,567.78/x
  3. Step 3: Cross multiply
    191,927.72x = 287,942.63 × 65,567.78
  4. Step 4: Simplify right side
    191,927.72x = 18,879,759,016.46
  5. Step 5: Solve for x
    x = 18,879,759,016.46/191,927.72
  6. Step 6: Final answer
    x = 98,369.11

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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.