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Finding the Fourth Proportional to 143,135.60, 214,703.40 and 130,013.60

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Solution

The fourth proportional to 143,135.60, 214,703.40 and 130,013.60 is: 195,020.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,135.60 : 214,703.40 = 130,013.60 : x
  2. Step 2: Convert to fraction form
    143,135.60/214,703.40 = 130,013.60/x
  3. Step 3: Cross multiply
    143,135.60x = 214,703.40 × 130,013.60
  4. Step 4: Simplify right side
    143,135.60x = 27,914,361,966.24
  5. Step 5: Solve for x
    x = 27,914,361,966.24/143,135.60
  6. Step 6: Final answer
    x = 195,020.40

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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.