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Finding the Fourth Proportional to 77,760, 116,657.28 and 28,512

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Solution

The fourth proportional to 77,760, 116,657.28 and 28,512 is: 42,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,760 : 116,657.28 = 28,512 : x
  2. Step 2: Convert to fraction form
    77,760/116,657.28 = 28,512/x
  3. Step 3: Cross multiply
    77,760x = 116,657.28 × 28,512
  4. Step 4: Simplify right side
    77,760x = 3,326,132,367.36
  5. Step 5: Solve for x
    x = 3,326,132,367.36/77,760
  6. Step 6: Final answer
    x = 42,774.34

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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.