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Finding the Fourth Proportional to 100,150.08, 138,205.08 and 57,706.08

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Solution

The fourth proportional to 100,150.08, 138,205.08 and 57,706.08 is: 79,633.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,150.08 : 138,205.08 = 57,706.08 : x
  2. Step 2: Convert to fraction form
    100,150.08/138,205.08 = 57,706.08/x
  3. Step 3: Cross multiply
    100,150.08x = 138,205.08 × 57,706.08
  4. Step 4: Simplify right side
    100,150.08x = 7,975,273,402.89
  5. Step 5: Solve for x
    x = 7,975,273,402.89/100,150.08
  6. Step 6: Final answer
    x = 79,633.22

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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.