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Finding the Fourth Proportional to 52,460.80, 78,844.80 and 45,702.40

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Solution

The fourth proportional to 52,460.80, 78,844.80 and 45,702.40 is: 68,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,460.80 : 78,844.80 = 45,702.40 : x
  2. Step 2: Convert to fraction form
    52,460.80/78,844.80 = 45,702.40/x
  3. Step 3: Cross multiply
    52,460.80x = 78,844.80 × 45,702.40
  4. Step 4: Simplify right side
    52,460.80x = 3,603,396,587.52
  5. Step 5: Solve for x
    x = 3,603,396,587.52/52,460.80
  6. Step 6: Final answer
    x = 68,687.41

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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.