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Finding the Fourth Proportional to 65,124.93, 97,686.34 and 20,751.09

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Solution

The fourth proportional to 65,124.93, 97,686.34 and 20,751.09 is: 31,126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,124.93 : 97,686.34 = 20,751.09 : x
  2. Step 2: Convert to fraction form
    65,124.93/97,686.34 = 20,751.09/x
  3. Step 3: Cross multiply
    65,124.93x = 97,686.34 × 20,751.09
  4. Step 4: Simplify right side
    65,124.93x = 2,027,097,614.91
  5. Step 5: Solve for x
    x = 2,027,097,614.91/65,124.93
  6. Step 6: Final answer
    x = 31,126.29

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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.