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Finding the Fourth Proportional to 142,657.80, 213,929.10 and 49,115.40

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Solution

The fourth proportional to 142,657.80, 213,929.10 and 49,115.40 is: 73,653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,657.80 : 213,929.10 = 49,115.40 : x
  2. Step 2: Convert to fraction form
    142,657.80/213,929.10 = 49,115.40/x
  3. Step 3: Cross multiply
    142,657.80x = 213,929.10 × 49,115.40
  4. Step 4: Simplify right side
    142,657.80x = 10,507,213,318.14
  5. Step 5: Solve for x
    x = 10,507,213,318.14/142,657.80
  6. Step 6: Final answer
    x = 73,653.27

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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.