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Finding the Fourth Proportional to 97,972, 135,201.54 and 55,534.48

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Solution

The fourth proportional to 97,972, 135,201.54 and 55,534.48 is: 76,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,972 : 135,201.54 = 55,534.48 : x
  2. Step 2: Convert to fraction form
    97,972/135,201.54 = 55,534.48/x
  3. Step 3: Cross multiply
    97,972x = 135,201.54 × 55,534.48
  4. Step 4: Simplify right side
    97,972x = 7,508,347,219.10
  5. Step 5: Solve for x
    x = 7,508,347,219.10/97,972
  6. Step 6: Final answer
    x = 76,637.68

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1.5x scale

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.