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Finding the Fourth Proportional to 102,702.69, 141,728.74 and 57,388.48

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Solution

The fourth proportional to 102,702.69, 141,728.74 and 57,388.48 is: 79,195.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,702.69 : 141,728.74 = 57,388.48 : x
  2. Step 2: Convert to fraction form
    102,702.69/141,728.74 = 57,388.48/x
  3. Step 3: Cross multiply
    102,702.69x = 141,728.74 × 57,388.48
  4. Step 4: Simplify right side
    102,702.69x = 8,133,596,463.12
  5. Step 5: Solve for x
    x = 8,133,596,463.12/102,702.69
  6. Step 6: Final answer
    x = 79,195.55

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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.