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Finding the Fourth Proportional to 224,429.41, 309,824.81 and 139,573.81

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Solution

The fourth proportional to 224,429.41, 309,824.81 and 139,573.81 is: 192,681.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,429.41 : 309,824.81 = 139,573.81 : x
  2. Step 2: Convert to fraction form
    224,429.41/309,824.81 = 139,573.81/x
  3. Step 3: Cross multiply
    224,429.41x = 309,824.81 × 139,573.81
  4. Step 4: Simplify right side
    224,429.41x = 43,243,427,964.04
  5. Step 5: Solve for x
    x = 43,243,427,964.04/224,429.41
  6. Step 6: Final answer
    x = 192,681.65

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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.