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Finding the Fourth Proportional to 100,172.20, 149,966.70 and 97,256.20

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Solution

The fourth proportional to 100,172.20, 149,966.70 and 97,256.20 is: 145,601.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,172.20 : 149,966.70 = 97,256.20 : x
  2. Step 2: Convert to fraction form
    100,172.20/149,966.70 = 97,256.20/x
  3. Step 3: Cross multiply
    100,172.20x = 149,966.70 × 97,256.20
  4. Step 4: Simplify right side
    100,172.20x = 14,585,191,368.54
  5. Step 5: Solve for x
    x = 14,585,191,368.54/100,172.20
  6. Step 6: Final answer
    x = 145,601.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.