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Finding the Fourth Proportional to 102,702.80, 154,054.20 and 46,521.20

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Solution

The fourth proportional to 102,702.80, 154,054.20 and 46,521.20 is: 69,781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,702.80 : 154,054.20 = 46,521.20 : x
  2. Step 2: Convert to fraction form
    102,702.80/154,054.20 = 46,521.20/x
  3. Step 3: Cross multiply
    102,702.80x = 154,054.20 × 46,521.20
  4. Step 4: Simplify right side
    102,702.80x = 7,166,786,249.04
  5. Step 5: Solve for x
    x = 7,166,786,249.04/102,702.80
  6. Step 6: Final answer
    x = 69,781.80

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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.