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Finding the Fourth Proportional to 357,241.25, 535,861.87 and 120,750

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Solution

The fourth proportional to 357,241.25, 535,861.87 and 120,750 is: 181,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,241.25 : 535,861.87 = 120,750 : x
  2. Step 2: Convert to fraction form
    357,241.25/535,861.87 = 120,750/x
  3. Step 3: Cross multiply
    357,241.25x = 535,861.87 × 120,750
  4. Step 4: Simplify right side
    357,241.25x = 64,705,320,802.50
  5. Step 5: Solve for x
    x = 64,705,320,802.50/357,241.25
  6. Step 6: Final answer
    x = 181,125.00

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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.