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Finding the Fourth Proportional to 77,208, 106,547.04 and 41,880

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Solution

The fourth proportional to 77,208, 106,547.04 and 41,880 is: 57,794.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,208 : 106,547.04 = 41,880 : x
  2. Step 2: Convert to fraction form
    77,208/106,547.04 = 41,880/x
  3. Step 3: Cross multiply
    77,208x = 106,547.04 × 41,880
  4. Step 4: Simplify right side
    77,208x = 4,462,190,035.20
  5. Step 5: Solve for x
    x = 4,462,190,035.20/77,208
  6. Step 6: Final answer
    x = 57,794.40

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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.