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Finding the Fourth Proportional to 357,072.15, 535,605.74 and 90,830.31

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Solution

The fourth proportional to 357,072.15, 535,605.74 and 90,830.31 is: 136,244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,072.15 : 535,605.74 = 90,830.31 : x
  2. Step 2: Convert to fraction form
    357,072.15/535,605.74 = 90,830.31/x
  3. Step 3: Cross multiply
    357,072.15x = 535,605.74 × 90,830.31
  4. Step 4: Simplify right side
    357,072.15x = 48,649,234,947.83
  5. Step 5: Solve for x
    x = 48,649,234,947.83/357,072.15
  6. Step 6: Final answer
    x = 136,244.83

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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.