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Finding the Fourth Proportional to 100,985.74, 150,286.56 and 97,622.16

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Solution

The fourth proportional to 100,985.74, 150,286.56 and 97,622.16 is: 145,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,985.74 : 150,286.56 = 97,622.16 : x
  2. Step 2: Convert to fraction form
    100,985.74/150,286.56 = 97,622.16/x
  3. Step 3: Cross multiply
    100,985.74x = 150,286.56 × 97,622.16
  4. Step 4: Simplify right side
    100,985.74x = 14,671,297,676.51
  5. Step 5: Solve for x
    x = 14,671,297,676.51/100,985.74
  6. Step 6: Final answer
    x = 145,280.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.