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Finding the Fourth Proportional to 92,897, 128,198.10 and 54,657.98

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Solution

The fourth proportional to 92,897, 128,198.10 and 54,657.98 is: 75,428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,897 : 128,198.10 = 54,657.98 : x
  2. Step 2: Convert to fraction form
    92,897/128,198.10 = 54,657.98/x
  3. Step 3: Cross multiply
    92,897x = 128,198.10 × 54,657.98
  4. Step 4: Simplify right side
    92,897x = 7,007,049,185.84
  5. Step 5: Solve for x
    x = 7,007,049,185.84/92,897
  6. Step 6: Final answer
    x = 75,428.15

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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.