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Finding the Fourth Proportional to 224,787.81, 310,228.62 and 122,828.77

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Solution

The fourth proportional to 224,787.81, 310,228.62 and 122,828.77 is: 169,515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,787.81 : 310,228.62 = 122,828.77 : x
  2. Step 2: Convert to fraction form
    224,787.81/310,228.62 = 122,828.77/x
  3. Step 3: Cross multiply
    224,787.81x = 310,228.62 × 122,828.77
  4. Step 4: Simplify right side
    224,787.81x = 38,104,999,813.40
  5. Step 5: Solve for x
    x = 38,104,999,813.40/224,787.81
  6. Step 6: Final answer
    x = 169,515.42

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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.