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Finding the Fourth Proportional to 143,225.40, 214,838.10 and 81,017.40

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Solution

The fourth proportional to 143,225.40, 214,838.10 and 81,017.40 is: 121,526.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,225.40 : 214,838.10 = 81,017.40 : x
  2. Step 2: Convert to fraction form
    143,225.40/214,838.10 = 81,017.40/x
  3. Step 3: Cross multiply
    143,225.40x = 214,838.10 × 81,017.40
  4. Step 4: Simplify right side
    143,225.40x = 17,405,624,282.94
  5. Step 5: Solve for x
    x = 17,405,624,282.94/143,225.40
  6. Step 6: Final answer
    x = 121,526.10

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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.