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Finding the Fourth Proportional to 102,278, 141,145.80 and 57,566

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Solution

The fourth proportional to 102,278, 141,145.80 and 57,566 is: 79,442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,278 : 141,145.80 = 57,566 : x
  2. Step 2: Convert to fraction form
    102,278/141,145.80 = 57,566/x
  3. Step 3: Cross multiply
    102,278x = 141,145.80 × 57,566
  4. Step 4: Simplify right side
    102,278x = 8,125,199,122.80
  5. Step 5: Solve for x
    x = 8,125,199,122.80/102,278
  6. Step 6: Final answer
    x = 79,442.30

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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.