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Finding the Fourth Proportional to 97,817, 134,987.46 and 53,105

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Solution

The fourth proportional to 97,817, 134,987.46 and 53,105 is: 73,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,817 : 134,987.46 = 53,105 : x
  2. Step 2: Convert to fraction form
    97,817/134,987.46 = 53,105/x
  3. Step 3: Cross multiply
    97,817x = 134,987.46 × 53,105
  4. Step 4: Simplify right side
    97,817x = 7,168,509,063.30
  5. Step 5: Solve for x
    x = 7,168,509,063.30/97,817
  6. Step 6: Final answer
    x = 73,284.90

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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.