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Finding the Fourth Proportional to 67,871.80, 101,904.90 and 51,347.80

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Solution

The fourth proportional to 67,871.80, 101,904.90 and 51,347.80 is: 77,095.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,871.80 : 101,904.90 = 51,347.80 : x
  2. Step 2: Convert to fraction form
    67,871.80/101,904.90 = 51,347.80/x
  3. Step 3: Cross multiply
    67,871.80x = 101,904.90 × 51,347.80
  4. Step 4: Simplify right side
    67,871.80x = 5,232,592,424.22
  5. Step 5: Solve for x
    x = 5,232,592,424.22/67,871.80
  6. Step 6: Final answer
    x = 77,095.24

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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.