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Finding the Fourth Proportional to 138,925.78, 208,293.80 and 66,840.64

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Solution

The fourth proportional to 138,925.78, 208,293.80 and 66,840.64 is: 100,215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,925.78 : 208,293.80 = 66,840.64 : x
  2. Step 2: Convert to fraction form
    138,925.78/208,293.80 = 66,840.64/x
  3. Step 3: Cross multiply
    138,925.78x = 208,293.80 × 66,840.64
  4. Step 4: Simplify right side
    138,925.78x = 13,922,490,900.03
  5. Step 5: Solve for x
    x = 13,922,490,900.03/138,925.78
  6. Step 6: Final answer
    x = 100,215.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.