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Finding the Fourth Proportional to 150,041.06, 207,082.12 and 86,415.68

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Solution

The fourth proportional to 150,041.06, 207,082.12 and 86,415.68 is: 119,268.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,041.06 : 207,082.12 = 86,415.68 : x
  2. Step 2: Convert to fraction form
    150,041.06/207,082.12 = 86,415.68/x
  3. Step 3: Cross multiply
    150,041.06x = 207,082.12 × 86,415.68
  4. Step 4: Simplify right side
    150,041.06x = 17,895,142,215.64
  5. Step 5: Solve for x
    x = 17,895,142,215.64/150,041.06
  6. Step 6: Final answer
    x = 119,268.30

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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.