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Finding the Fourth Proportional to 100,013.67, 137,797.34 and 65,962.08

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Solution

The fourth proportional to 100,013.67, 137,797.34 and 65,962.08 is: 90,881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,013.67 : 137,797.34 = 65,962.08 : x
  2. Step 2: Convert to fraction form
    100,013.67/137,797.34 = 65,962.08/x
  3. Step 3: Cross multiply
    100,013.67x = 137,797.34 × 65,962.08
  4. Step 4: Simplify right side
    100,013.67x = 9,089,398,835.06
  5. Step 5: Solve for x
    x = 9,089,398,835.06/100,013.67
  6. Step 6: Final answer
    x = 90,881.56

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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.