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Finding the Fourth Proportional to 152,651.75, 210,416.02 and 120,333.68

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Solution

The fourth proportional to 152,651.75, 210,416.02 and 120,333.68 is: 165,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,651.75 : 210,416.02 = 120,333.68 : x
  2. Step 2: Convert to fraction form
    152,651.75/210,416.02 = 120,333.68/x
  3. Step 3: Cross multiply
    152,651.75x = 210,416.02 × 120,333.68
  4. Step 4: Simplify right side
    152,651.75x = 25,320,132,664.64
  5. Step 5: Solve for x
    x = 25,320,132,664.64/152,651.75
  6. Step 6: Final answer
    x = 165,868.60

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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.