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Finding the Fourth Proportional to 139,388.16, 208,565.54 and 83,258.80

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Solution

The fourth proportional to 139,388.16, 208,565.54 and 83,258.80 is: 124,579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,388.16 : 208,565.54 = 83,258.80 : x
  2. Step 2: Convert to fraction form
    139,388.16/208,565.54 = 83,258.80/x
  3. Step 3: Cross multiply
    139,388.16x = 208,565.54 × 83,258.80
  4. Step 4: Simplify right side
    139,388.16x = 17,364,916,581.75
  5. Step 5: Solve for x
    x = 17,364,916,581.75/139,388.16
  6. Step 6: Final answer
    x = 124,579.57

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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.