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Finding the Fourth Proportional to 210,889.10, 316,333.65 and 53,129.86

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Solution

The fourth proportional to 210,889.10, 316,333.65 and 53,129.86 is: 79,694.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,889.10 : 316,333.65 = 53,129.86 : x
  2. Step 2: Convert to fraction form
    210,889.10/316,333.65 = 53,129.86/x
  3. Step 3: Cross multiply
    210,889.10x = 316,333.65 × 53,129.86
  4. Step 4: Simplify right side
    210,889.10x = 16,806,761,946.19
  5. Step 5: Solve for x
    x = 16,806,761,946.19/210,889.10
  6. Step 6: Final answer
    x = 79,694.79

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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.