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Finding the Fourth Proportional to 140,665.74, 210,852.81 and 87,954.18

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Solution

The fourth proportional to 140,665.74, 210,852.81 and 87,954.18 is: 131,840.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,665.74 : 210,852.81 = 87,954.18 : x
  2. Step 2: Convert to fraction form
    140,665.74/210,852.81 = 87,954.18/x
  3. Step 3: Cross multiply
    140,665.74x = 210,852.81 × 87,954.18
  4. Step 4: Simplify right side
    140,665.74x = 18,545,386,004.25
  5. Step 5: Solve for x
    x = 18,545,386,004.25/140,665.74
  6. Step 6: Final answer
    x = 131,840.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.