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Finding the Fourth Proportional to 71,048, 106,802.40 and 65,917.76

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Solution

The fourth proportional to 71,048, 106,802.40 and 65,917.76 is: 99,090.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,048 : 106,802.40 = 65,917.76 : x
  2. Step 2: Convert to fraction form
    71,048/106,802.40 = 65,917.76/x
  3. Step 3: Cross multiply
    71,048x = 106,802.40 × 65,917.76
  4. Step 4: Simplify right side
    71,048x = 7,040,174,970.62
  5. Step 5: Solve for x
    x = 7,040,174,970.62/71,048
  6. Step 6: Final answer
    x = 99,090.40

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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.