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Finding the Fourth Proportional to 152,765.95, 210,819.29 and 84,787.31

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Solution

The fourth proportional to 152,765.95, 210,819.29 and 84,787.31 is: 117,007.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,765.95 : 210,819.29 = 84,787.31 : x
  2. Step 2: Convert to fraction form
    152,765.95/210,819.29 = 84,787.31/x
  3. Step 3: Cross multiply
    152,765.95x = 210,819.29 × 84,787.31
  4. Step 4: Simplify right side
    152,765.95x = 17,874,800,495.21
  5. Step 5: Solve for x
    x = 17,874,800,495.21/152,765.95
  6. Step 6: Final answer
    x = 117,007.75

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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.