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Finding the Fourth Proportional to 97,913, 135,120.77 and 53,201

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Solution

The fourth proportional to 97,913, 135,120.77 and 53,201 is: 73,417.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,913 : 135,120.77 = 53,201 : x
  2. Step 2: Convert to fraction form
    97,913/135,120.77 = 53,201/x
  3. Step 3: Cross multiply
    97,913x = 135,120.77 × 53,201
  4. Step 4: Simplify right side
    97,913x = 7,188,559,818.77
  5. Step 5: Solve for x
    x = 7,188,559,818.77/97,913
  6. Step 6: Final answer
    x = 73,417.83

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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.