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Finding the Fourth Proportional to 97,827, 135,001.28 and 53,115

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Solution

The fourth proportional to 97,827, 135,001.28 and 53,115 is: 73,298.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,827 : 135,001.28 = 53,115 : x
  2. Step 2: Convert to fraction form
    97,827/135,001.28 = 53,115/x
  3. Step 3: Cross multiply
    97,827x = 135,001.28 × 53,115
  4. Step 4: Simplify right side
    97,827x = 7,170,592,987.20
  5. Step 5: Solve for x
    x = 7,170,592,987.20/97,827
  6. Step 6: Final answer
    x = 73,298.71

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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.