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Finding the Fourth Proportional to 224,787.51, 310,216.08 and 129,294.32

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Solution

The fourth proportional to 224,787.51, 310,216.08 and 129,294.32 is: 178,431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,787.51 : 310,216.08 = 129,294.32 : x
  2. Step 2: Convert to fraction form
    224,787.51/310,216.08 = 129,294.32/x
  3. Step 3: Cross multiply
    224,787.51x = 310,216.08 × 129,294.32
  4. Step 4: Simplify right side
    224,787.51x = 40,109,175,565.59
  5. Step 5: Solve for x
    x = 40,109,175,565.59/224,787.51
  6. Step 6: Final answer
    x = 178,431.51

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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.