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Finding the Fourth Proportional to 56,384.70, 84,343.31 and 42,956.09

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Solution

The fourth proportional to 56,384.70, 84,343.31 and 42,956.09 is: 64,256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,384.70 : 84,343.31 = 42,956.09 : x
  2. Step 2: Convert to fraction form
    56,384.70/84,343.31 = 42,956.09/x
  3. Step 3: Cross multiply
    56,384.70x = 84,343.31 × 42,956.09
  4. Step 4: Simplify right side
    56,384.70x = 3,623,059,372.19
  5. Step 5: Solve for x
    x = 3,623,059,372.19/56,384.70
  6. Step 6: Final answer
    x = 64,256.07

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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.