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Finding the Fourth Proportional to 152,572, 228,815.61 and 85,021

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Solution

The fourth proportional to 152,572, 228,815.61 and 85,021 is: 127,507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,572 : 228,815.61 = 85,021 : x
  2. Step 2: Convert to fraction form
    152,572/228,815.61 = 85,021/x
  3. Step 3: Cross multiply
    152,572x = 228,815.61 × 85,021
  4. Step 4: Simplify right side
    152,572x = 19,454,131,977.81
  5. Step 5: Solve for x
    x = 19,454,131,977.81/152,572
  6. Step 6: Final answer
    x = 127,507.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.