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Finding the Fourth Proportional to 52,702.92, 78,927.71 and 30,145.21

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Solution

The fourth proportional to 52,702.92, 78,927.71 and 30,145.21 is: 45,145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,702.92 : 78,927.71 = 30,145.21 : x
  2. Step 2: Convert to fraction form
    52,702.92/78,927.71 = 30,145.21/x
  3. Step 3: Cross multiply
    52,702.92x = 78,927.71 × 30,145.21
  4. Step 4: Simplify right side
    52,702.92x = 2,379,292,726.43
  5. Step 5: Solve for x
    x = 2,379,292,726.43/52,702.92
  6. Step 6: Final answer
    x = 45,145.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.