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Finding the Fourth Proportional to 142,416.66, 213,751.70 and 75,911.70

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Solution

The fourth proportional to 142,416.66, 213,751.70 and 75,911.70 is: 113,935.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,416.66 : 213,751.70 = 75,911.70 : x
  2. Step 2: Convert to fraction form
    142,416.66/213,751.70 = 75,911.70/x
  3. Step 3: Cross multiply
    142,416.66x = 213,751.70 × 75,911.70
  4. Step 4: Simplify right side
    142,416.66x = 16,226,254,924.89
  5. Step 5: Solve for x
    x = 16,226,254,924.89/142,416.66
  6. Step 6: Final answer
    x = 113,935.09

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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.