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Finding the Fourth Proportional to 210,843, 316,188.36 and 84,512.16

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Solution

The fourth proportional to 210,843, 316,188.36 and 84,512.16 is: 126,737.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,843 : 316,188.36 = 84,512.16 : x
  2. Step 2: Convert to fraction form
    210,843/316,188.36 = 84,512.16/x
  3. Step 3: Cross multiply
    210,843x = 316,188.36 × 84,512.16
  4. Step 4: Simplify right side
    210,843x = 26,721,761,270.46
  5. Step 5: Solve for x
    x = 26,721,761,270.46/210,843
  6. Step 6: Final answer
    x = 126,737.72

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1.5x scale

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.