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Finding the Fourth Proportional to 136,906.75, 188,931.32 and 77,290.75

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Solution

The fourth proportional to 136,906.75, 188,931.32 and 77,290.75 is: 106,661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,906.75 : 188,931.32 = 77,290.75 : x
  2. Step 2: Convert to fraction form
    136,906.75/188,931.32 = 77,290.75/x
  3. Step 3: Cross multiply
    136,906.75x = 188,931.32 × 77,290.75
  4. Step 4: Simplify right side
    136,906.75x = 14,602,643,421.29
  5. Step 5: Solve for x
    x = 14,602,643,421.29/136,906.75
  6. Step 6: Final answer
    x = 106,661.24

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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.