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Finding the Fourth Proportional to 152,797.86, 210,874.41 and 89,156.16

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Solution

The fourth proportional to 152,797.86, 210,874.41 and 89,156.16 is: 123,043.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,797.86 : 210,874.41 = 89,156.16 : x
  2. Step 2: Convert to fraction form
    152,797.86/210,874.41 = 89,156.16/x
  3. Step 3: Cross multiply
    152,797.86x = 210,874.41 × 89,156.16
  4. Step 4: Simplify right side
    152,797.86x = 18,800,752,637.87
  5. Step 5: Solve for x
    x = 18,800,752,637.87/152,797.86
  6. Step 6: Final answer
    x = 123,043.30

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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.