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Finding the Fourth Proportional to 142,657.79, 214,080.10 and 53,911.29

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Solution

The fourth proportional to 142,657.79, 214,080.10 and 53,911.29 is: 80,902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,657.79 : 214,080.10 = 53,911.29 : x
  2. Step 2: Convert to fraction form
    142,657.79/214,080.10 = 53,911.29/x
  3. Step 3: Cross multiply
    142,657.79x = 214,080.10 × 53,911.29
  4. Step 4: Simplify right side
    142,657.79x = 11,541,333,818.15
  5. Step 5: Solve for x
    x = 11,541,333,818.15/142,657.79
  6. Step 6: Final answer
    x = 80,902.23

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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.