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Finding the Fourth Proportional to 100,742.33, 139,029.95 and 58,314.53

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Solution

The fourth proportional to 100,742.33, 139,029.95 and 58,314.53 is: 80,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,742.33 : 139,029.95 = 58,314.53 : x
  2. Step 2: Convert to fraction form
    100,742.33/139,029.95 = 58,314.53/x
  3. Step 3: Cross multiply
    100,742.33x = 139,029.95 × 58,314.53
  4. Step 4: Simplify right side
    100,742.33x = 8,107,466,190.17
  5. Step 5: Solve for x
    x = 8,107,466,190.17/100,742.33
  6. Step 6: Final answer
    x = 80,477.26

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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.