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Finding the Fourth Proportional to 100,085.90, 138,099.36 and 57,064.58

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Solution

The fourth proportional to 100,085.90, 138,099.36 and 57,064.58 is: 78,738.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,085.90 : 138,099.36 = 57,064.58 : x
  2. Step 2: Convert to fraction form
    100,085.90/138,099.36 = 57,064.58/x
  3. Step 3: Cross multiply
    100,085.90x = 138,099.36 × 57,064.58
  4. Step 4: Simplify right side
    100,085.90x = 7,880,581,976.67
  5. Step 5: Solve for x
    x = 7,880,581,976.67/100,085.90
  6. Step 6: Final answer
    x = 78,738.18

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1.5x scale

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.