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Finding the Fourth Proportional to 150,410.56, 207,565.76 and 83,342.40

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Solution

The fourth proportional to 150,410.56, 207,565.76 and 83,342.40 is: 115,012.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,410.56 : 207,565.76 = 83,342.40 : x
  2. Step 2: Convert to fraction form
    150,410.56/207,565.76 = 83,342.40/x
  3. Step 3: Cross multiply
    150,410.56x = 207,565.76 × 83,342.40
  4. Step 4: Simplify right side
    150,410.56x = 17,299,028,596.22
  5. Step 5: Solve for x
    x = 17,299,028,596.22/150,410.56
  6. Step 6: Final answer
    x = 115,012.06

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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.