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Finding the Fourth Proportional to 136,259.96, 188,036.94 and 76,643.96

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Solution

The fourth proportional to 136,259.96, 188,036.94 and 76,643.96 is: 105,767.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,259.96 : 188,036.94 = 76,643.96 : x
  2. Step 2: Convert to fraction form
    136,259.96/188,036.94 = 76,643.96/x
  3. Step 3: Cross multiply
    136,259.96x = 188,036.94 × 76,643.96
  4. Step 4: Simplify right side
    136,259.96x = 14,411,895,707.88
  5. Step 5: Solve for x
    x = 14,411,895,707.88/136,259.96
  6. Step 6: Final answer
    x = 105,767.65

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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.