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Finding the Fourth Proportional to 136,564.50, 188,459.81 and 76,138.94

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Solution

The fourth proportional to 136,564.50, 188,459.81 and 76,138.94 is: 105,072.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,564.50 : 188,459.81 = 76,138.94 : x
  2. Step 2: Convert to fraction form
    136,564.50/188,459.81 = 76,138.94/x
  3. Step 3: Cross multiply
    136,564.50x = 188,459.81 × 76,138.94
  4. Step 4: Simplify right side
    136,564.50x = 14,349,130,166.00
  5. Step 5: Solve for x
    x = 14,349,130,166.00/136,564.50
  6. Step 6: Final answer
    x = 105,072.18

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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.