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Finding the Fourth Proportional to 210,310.82, 315,203.70 and 105,159.86

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Solution

The fourth proportional to 210,310.82, 315,203.70 and 105,159.86 is: 157,608.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,310.82 : 315,203.70 = 105,159.86 : x
  2. Step 2: Convert to fraction form
    210,310.82/315,203.70 = 105,159.86/x
  3. Step 3: Cross multiply
    210,310.82x = 315,203.70 × 105,159.86
  4. Step 4: Simplify right side
    210,310.82x = 33,146,776,963.48
  5. Step 5: Solve for x
    x = 33,146,776,963.48/210,310.82
  6. Step 6: Final answer
    x = 157,608.52

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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.