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Finding the Fourth Proportional to 103,214.76, 154,866 and 56,412.96

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Solution

The fourth proportional to 103,214.76, 154,866 and 56,412.96 is: 84,643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,214.76 : 154,866 = 56,412.96 : x
  2. Step 2: Convert to fraction form
    103,214.76/154,866 = 56,412.96/x
  3. Step 3: Cross multiply
    103,214.76x = 154,866 × 56,412.96
  4. Step 4: Simplify right side
    103,214.76x = 8,736,449,463.36
  5. Step 5: Solve for x
    x = 8,736,449,463.36/103,214.76
  6. Step 6: Final answer
    x = 84,643.41

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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.