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Finding the Fourth Proportional to 100,743.66, 139,026.54 and 55,424.58

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Solution

The fourth proportional to 100,743.66, 139,026.54 and 55,424.58 is: 76,486.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,743.66 : 139,026.54 = 55,424.58 : x
  2. Step 2: Convert to fraction form
    100,743.66/139,026.54 = 55,424.58/x
  3. Step 3: Cross multiply
    100,743.66x = 139,026.54 × 55,424.58
  4. Step 4: Simplify right side
    100,743.66x = 7,705,487,588.35
  5. Step 5: Solve for x
    x = 7,705,487,588.35/100,743.66
  6. Step 6: Final answer
    x = 76,486.08

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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.