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Finding the Fourth Proportional to 78,202.48, 107,885.64 and 52,330

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Solution

The fourth proportional to 78,202.48, 107,885.64 and 52,330 is: 72,192.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,202.48 : 107,885.64 = 52,330 : x
  2. Step 2: Convert to fraction form
    78,202.48/107,885.64 = 52,330/x
  3. Step 3: Cross multiply
    78,202.48x = 107,885.64 × 52,330
  4. Step 4: Simplify right side
    78,202.48x = 5,645,655,541.20
  5. Step 5: Solve for x
    x = 5,645,655,541.20/78,202.48
  6. Step 6: Final answer
    x = 72,192.79

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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.