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Finding the Fourth Proportional to 150,407.62, 207,570.81 and 83,338.18

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Solution

The fourth proportional to 150,407.62, 207,570.81 and 83,338.18 is: 115,011.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,407.62 : 207,570.81 = 83,338.18 : x
  2. Step 2: Convert to fraction form
    150,407.62/207,570.81 = 83,338.18/x
  3. Step 3: Cross multiply
    150,407.62x = 207,570.81 × 83,338.18
  4. Step 4: Simplify right side
    150,407.62x = 17,298,573,526.53
  5. Step 5: Solve for x
    x = 17,298,573,526.53/150,407.62
  6. Step 6: Final answer
    x = 115,011.28

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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.