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Finding the Fourth Proportional to 150,186.64, 207,280.80 and 85,655.96

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Solution

The fourth proportional to 150,186.64, 207,280.80 and 85,655.96 is: 118,218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,186.64 : 207,280.80 = 85,655.96 : x
  2. Step 2: Convert to fraction form
    150,186.64/207,280.80 = 85,655.96/x
  3. Step 3: Cross multiply
    150,186.64x = 207,280.80 × 85,655.96
  4. Step 4: Simplify right side
    150,186.64x = 17,754,835,913.57
  5. Step 5: Solve for x
    x = 17,754,835,913.57/150,186.64
  6. Step 6: Final answer
    x = 118,218.48

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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.