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Finding the Fourth Proportional to 97,643.80, 134,732.46 and 57,349

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Solution

The fourth proportional to 97,643.80, 134,732.46 and 57,349 is: 79,132.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,643.80 : 134,732.46 = 57,349 : x
  2. Step 2: Convert to fraction form
    97,643.80/134,732.46 = 57,349/x
  3. Step 3: Cross multiply
    97,643.80x = 134,732.46 × 57,349
  4. Step 4: Simplify right side
    97,643.80x = 7,726,771,848.54
  5. Step 5: Solve for x
    x = 7,726,771,848.54/97,643.80
  6. Step 6: Final answer
    x = 79,132.23

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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.