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Finding the Fourth Proportional to 80,767, 111,445.70 and 46,778.69

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Solution

The fourth proportional to 80,767, 111,445.70 and 46,778.69 is: 64,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,767 : 111,445.70 = 46,778.69 : x
  2. Step 2: Convert to fraction form
    80,767/111,445.70 = 46,778.69/x
  3. Step 3: Cross multiply
    80,767x = 111,445.70 × 46,778.69
  4. Step 4: Simplify right side
    80,767x = 5,213,283,852.13
  5. Step 5: Solve for x
    x = 5,213,283,852.13/80,767
  6. Step 6: Final answer
    x = 64,547.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.