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Finding the Fourth Proportional to 152,571, 228,814.11 and 85,020

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Solution

The fourth proportional to 152,571, 228,814.11 and 85,020 is: 127,506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,571 : 228,814.11 = 85,020 : x
  2. Step 2: Convert to fraction form
    152,571/228,814.11 = 85,020/x
  3. Step 3: Cross multiply
    152,571x = 228,814.11 × 85,020
  4. Step 4: Simplify right side
    152,571x = 19,453,775,632.20
  5. Step 5: Solve for x
    x = 19,453,775,632.20/152,571
  6. Step 6: Final answer
    x = 127,506.38

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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.