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Finding the Fourth Proportional to 103,682.32, 143,101.80 and 61,238.80

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Solution

The fourth proportional to 103,682.32, 143,101.80 and 61,238.80 is: 84,521.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,682.32 : 143,101.80 = 61,238.80 : x
  2. Step 2: Convert to fraction form
    103,682.32/143,101.80 = 61,238.80/x
  3. Step 3: Cross multiply
    103,682.32x = 143,101.80 × 61,238.80
  4. Step 4: Simplify right side
    103,682.32x = 8,763,382,509.84
  5. Step 5: Solve for x
    x = 8,763,382,509.84/103,682.32
  6. Step 6: Final answer
    x = 84,521.47

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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.