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Finding the Fourth Proportional to 150,854.64, 208,208.64 and 99,868.32

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Solution

The fourth proportional to 150,854.64, 208,208.64 and 99,868.32 is: 137,837.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,854.64 : 208,208.64 = 99,868.32 : x
  2. Step 2: Convert to fraction form
    150,854.64/208,208.64 = 99,868.32/x
  3. Step 3: Cross multiply
    150,854.64x = 208,208.64 × 99,868.32
  4. Step 4: Simplify right side
    150,854.64x = 20,793,447,086.28
  5. Step 5: Solve for x
    x = 20,793,447,086.28/150,854.64
  6. Step 6: Final answer
    x = 137,837.64

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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.