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Finding the Fourth Proportional to 210,335.28, 315,658.44 and 77,298

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Solution

The fourth proportional to 210,335.28, 315,658.44 and 77,298 is: 116,004.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,335.28 : 315,658.44 = 77,298 : x
  2. Step 2: Convert to fraction form
    210,335.28/315,658.44 = 77,298/x
  3. Step 3: Cross multiply
    210,335.28x = 315,658.44 × 77,298
  4. Step 4: Simplify right side
    210,335.28x = 24,399,766,095.12
  5. Step 5: Solve for x
    x = 24,399,766,095.12/210,335.28
  6. Step 6: Final answer
    x = 116,004.15

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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.