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Finding the Fourth Proportional to 210,700.30, 315,747.30 and 90,724.31

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Solution

The fourth proportional to 210,700.30, 315,747.30 and 90,724.31 is: 135,955.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,700.30 : 315,747.30 = 90,724.31 : x
  2. Step 2: Convert to fraction form
    210,700.30/315,747.30 = 90,724.31/x
  3. Step 3: Cross multiply
    210,700.30x = 315,747.30 × 90,724.31
  4. Step 4: Simplify right side
    210,700.30x = 28,645,955,926.86
  5. Step 5: Solve for x
    x = 28,645,955,926.86/210,700.30
  6. Step 6: Final answer
    x = 135,955.93

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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.