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Finding the Fourth Proportional to 152,012.84, 209,817.89 and 87,490.01

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Solution

The fourth proportional to 152,012.84, 209,817.89 and 87,490.01 is: 120,759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,012.84 : 209,817.89 = 87,490.01 : x
  2. Step 2: Convert to fraction form
    152,012.84/209,817.89 = 87,490.01/x
  3. Step 3: Cross multiply
    152,012.84x = 209,817.89 × 87,490.01
  4. Step 4: Simplify right side
    152,012.84x = 18,356,969,709.46
  5. Step 5: Solve for x
    x = 18,356,969,709.46/152,012.84
  6. Step 6: Final answer
    x = 120,759.34

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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.