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Finding the Fourth Proportional to 152,523.60, 210,489.60 and 84,542.02

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Solution

The fourth proportional to 152,523.60, 210,489.60 and 84,542.02 is: 116,671.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,523.60 : 210,489.60 = 84,542.02 : x
  2. Step 2: Convert to fraction form
    152,523.60/210,489.60 = 84,542.02/x
  3. Step 3: Cross multiply
    152,523.60x = 210,489.60 × 84,542.02
  4. Step 4: Simplify right side
    152,523.60x = 17,795,215,972.99
  5. Step 5: Solve for x
    x = 17,795,215,972.99/152,523.60
  6. Step 6: Final answer
    x = 116,671.89

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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.