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Finding the Fourth Proportional to 79,820, 119,730.60 and 35,434.82

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Solution

The fourth proportional to 79,820, 119,730.60 and 35,434.82 is: 53,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,820 : 119,730.60 = 35,434.82 : x
  2. Step 2: Convert to fraction form
    79,820/119,730.60 = 35,434.82/x
  3. Step 3: Cross multiply
    79,820x = 119,730.60 × 35,434.82
  4. Step 4: Simplify right side
    79,820x = 4,242,632,259.49
  5. Step 5: Solve for x
    x = 4,242,632,259.49/79,820
  6. Step 6: Final answer
    x = 53,152.50

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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.