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Finding the Fourth Proportional to 71,209.77, 106,851.78 and 51,649.79

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Solution

The fourth proportional to 71,209.77, 106,851.78 and 51,649.79 is: 77,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,209.77 : 106,851.78 = 51,649.79 : x
  2. Step 2: Convert to fraction form
    71,209.77/106,851.78 = 51,649.79/x
  3. Step 3: Cross multiply
    71,209.77x = 106,851.78 × 51,649.79
  4. Step 4: Simplify right side
    71,209.77x = 5,518,871,463.87
  5. Step 5: Solve for x
    x = 5,518,871,463.87/71,209.77
  6. Step 6: Final answer
    x = 77,501.60

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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.