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Finding the Fourth Proportional to 100,734.42, 139,018.20 and 58,284.74

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Solution

The fourth proportional to 100,734.42, 139,018.20 and 58,284.74 is: 80,435.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,734.42 : 139,018.20 = 58,284.74 : x
  2. Step 2: Convert to fraction form
    100,734.42/139,018.20 = 58,284.74/x
  3. Step 3: Cross multiply
    100,734.42x = 139,018.20 × 58,284.74
  4. Step 4: Simplify right side
    100,734.42x = 8,102,639,642.27
  5. Step 5: Solve for x
    x = 8,102,639,642.27/100,734.42
  6. Step 6: Final answer
    x = 80,435.66

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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.