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Finding the Fourth Proportional to 191,473.72, 286,584.48 and 140,859.28

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Solution

The fourth proportional to 191,473.72, 286,584.48 and 140,859.28 is: 210,828.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,473.72 : 286,584.48 = 140,859.28 : x
  2. Step 2: Convert to fraction form
    191,473.72/286,584.48 = 140,859.28/x
  3. Step 3: Cross multiply
    191,473.72x = 286,584.48 × 140,859.28
  4. Step 4: Simplify right side
    191,473.72x = 40,368,083,511.97
  5. Step 5: Solve for x
    x = 40,368,083,511.97/191,473.72
  6. Step 6: Final answer
    x = 210,828.32

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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.