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Finding the Fourth Proportional to 100,822.80, 139,127.22 and 58,384.08

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Solution

The fourth proportional to 100,822.80, 139,127.22 and 58,384.08 is: 80,565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,822.80 : 139,127.22 = 58,384.08 : x
  2. Step 2: Convert to fraction form
    100,822.80/139,127.22 = 58,384.08/x
  3. Step 3: Cross multiply
    100,822.80x = 139,127.22 × 58,384.08
  4. Step 4: Simplify right side
    100,822.80x = 8,122,814,742.66
  5. Step 5: Solve for x
    x = 8,122,814,742.66/100,822.80
  6. Step 6: Final answer
    x = 80,565.26

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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.