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Finding the Fourth Proportional to 136,570, 188,448.24 and 76,133.74

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Solution

The fourth proportional to 136,570, 188,448.24 and 76,133.74 is: 105,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,570 : 188,448.24 = 76,133.74 : x
  2. Step 2: Convert to fraction form
    136,570/188,448.24 = 76,133.74/x
  3. Step 3: Cross multiply
    136,570x = 188,448.24 × 76,133.74
  4. Step 4: Simplify right side
    136,570x = 14,347,269,307.62
  5. Step 5: Solve for x
    x = 14,347,269,307.62/136,570
  6. Step 6: Final answer
    x = 105,054.33

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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.