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Finding the Fourth Proportional to 97,952, 135,173.76 and 53,240

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Solution

The fourth proportional to 97,952, 135,173.76 and 53,240 is: 73,471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,952 : 135,173.76 = 53,240 : x
  2. Step 2: Convert to fraction form
    97,952/135,173.76 = 53,240/x
  3. Step 3: Cross multiply
    97,952x = 135,173.76 × 53,240
  4. Step 4: Simplify right side
    97,952x = 7,196,650,982.40
  5. Step 5: Solve for x
    x = 7,196,650,982.40/97,952
  6. Step 6: Final answer
    x = 73,471.20

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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.