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Finding the Fourth Proportional to 77,755.92, 116,685.36 and 42,720

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Solution

The fourth proportional to 77,755.92, 116,685.36 and 42,720 is: 64,108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,755.92 : 116,685.36 = 42,720 : x
  2. Step 2: Convert to fraction form
    77,755.92/116,685.36 = 42,720/x
  3. Step 3: Cross multiply
    77,755.92x = 116,685.36 × 42,720
  4. Step 4: Simplify right side
    77,755.92x = 4,984,798,579.20
  5. Step 5: Solve for x
    x = 4,984,798,579.20/77,755.92
  6. Step 6: Final answer
    x = 64,108.28

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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.