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Finding the Fourth Proportional to 101,814.29, 140,501.56 and 56,491.29

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Solution

The fourth proportional to 101,814.29, 140,501.56 and 56,491.29 is: 77,956.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,814.29 : 140,501.56 = 56,491.29 : x
  2. Step 2: Convert to fraction form
    101,814.29/140,501.56 = 56,491.29/x
  3. Step 3: Cross multiply
    101,814.29x = 140,501.56 × 56,491.29
  4. Step 4: Simplify right side
    101,814.29x = 7,937,114,230.18
  5. Step 5: Solve for x
    x = 7,937,114,230.18/101,814.29
  6. Step 6: Final answer
    x = 77,956.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.