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Finding the Fourth Proportional to 197,658.47, 272,768.29 and 107,014.40

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Solution

The fourth proportional to 197,658.47, 272,768.29 and 107,014.40 is: 147,679.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,658.47 : 272,768.29 = 107,014.40 : x
  2. Step 2: Convert to fraction form
    197,658.47/272,768.29 = 107,014.40/x
  3. Step 3: Cross multiply
    197,658.47x = 272,768.29 × 107,014.40
  4. Step 4: Simplify right side
    197,658.47x = 29,190,134,893.38
  5. Step 5: Solve for x
    x = 29,190,134,893.38/197,658.47
  6. Step 6: Final answer
    x = 147,679.66

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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.