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Finding the Fourth Proportional to 97,841.01, 135,292.37 and 77,662.86

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Solution

The fourth proportional to 97,841.01, 135,292.37 and 77,662.86 is: 107,390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,841.01 : 135,292.37 = 77,662.86 : x
  2. Step 2: Convert to fraction form
    97,841.01/135,292.37 = 77,662.86/x
  3. Step 3: Cross multiply
    97,841.01x = 135,292.37 × 77,662.86
  4. Step 4: Simplify right side
    97,841.01x = 10,507,192,390.38
  5. Step 5: Solve for x
    x = 10,507,192,390.38/97,841.01
  6. Step 6: Final answer
    x = 107,390.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.