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Finding the Fourth Proportional to 288,157.42, 432,236.22 and 77,795.20

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Solution

The fourth proportional to 288,157.42, 432,236.22 and 77,795.20 is: 116,692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,157.42 : 432,236.22 = 77,795.20 : x
  2. Step 2: Convert to fraction form
    288,157.42/432,236.22 = 77,795.20/x
  3. Step 3: Cross multiply
    288,157.42x = 432,236.22 × 77,795.20
  4. Step 4: Simplify right side
    288,157.42x = 33,625,903,182.14
  5. Step 5: Solve for x
    x = 33,625,903,182.14/288,157.42
  6. Step 6: Final answer
    x = 116,692.82

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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.