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Finding the Fourth Proportional to 157,137.84, 216,855.05 and 89,157.65

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Solution

The fourth proportional to 157,137.84, 216,855.05 and 89,157.65 is: 123,040.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,137.84 : 216,855.05 = 89,157.65 : x
  2. Step 2: Convert to fraction form
    157,137.84/216,855.05 = 89,157.65/x
  3. Step 3: Cross multiply
    157,137.84x = 216,855.05 × 89,157.65
  4. Step 4: Simplify right side
    157,137.84x = 19,334,285,118.57
  5. Step 5: Solve for x
    x = 19,334,285,118.57/157,137.84
  6. Step 6: Final answer
    x = 123,040.29

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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.