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Finding the Fourth Proportional to 136,716, 188,668.08 and 77,100

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Solution

The fourth proportional to 136,716, 188,668.08 and 77,100 is: 106,398.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,716 : 188,668.08 = 77,100 : x
  2. Step 2: Convert to fraction form
    136,716/188,668.08 = 77,100/x
  3. Step 3: Cross multiply
    136,716x = 188,668.08 × 77,100
  4. Step 4: Simplify right side
    136,716x = 14,546,308,968.00
  5. Step 5: Solve for x
    x = 14,546,308,968.00/136,716
  6. Step 6: Final answer
    x = 106,398.00

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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.