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Finding the Fourth Proportional to 77,439.88, 106,866.54 and 42,984.24

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Solution

The fourth proportional to 77,439.88, 106,866.54 and 42,984.24 is: 59,317.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,439.88 : 106,866.54 = 42,984.24 : x
  2. Step 2: Convert to fraction form
    77,439.88/106,866.54 = 42,984.24/x
  3. Step 3: Cross multiply
    77,439.88x = 106,866.54 × 42,984.24
  4. Step 4: Simplify right side
    77,439.88x = 4,593,577,003.33
  5. Step 5: Solve for x
    x = 4,593,577,003.33/77,439.88
  6. Step 6: Final answer
    x = 59,317.98

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1.5x scale

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.