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Finding the Fourth Proportional to 136,759, 188,727.66 and 77,143

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Solution

The fourth proportional to 136,759, 188,727.66 and 77,143 is: 106,457.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,759 : 188,727.66 = 77,143 : x
  2. Step 2: Convert to fraction form
    136,759/188,727.66 = 77,143/x
  3. Step 3: Cross multiply
    136,759x = 188,727.66 × 77,143
  4. Step 4: Simplify right side
    136,759x = 14,559,017,875.38
  5. Step 5: Solve for x
    x = 14,559,017,875.38/136,759
  6. Step 6: Final answer
    x = 106,457.48

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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.