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Finding the Fourth Proportional to 288,075.42, 432,121.10 and 77,712.75

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Solution

The fourth proportional to 288,075.42, 432,121.10 and 77,712.75 is: 116,571.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,075.42 : 432,121.10 = 77,712.75 : x
  2. Step 2: Convert to fraction form
    288,075.42/432,121.10 = 77,712.75/x
  3. Step 3: Cross multiply
    288,075.42x = 432,121.10 × 77,712.75
  4. Step 4: Simplify right side
    288,075.42x = 33,581,318,625.46
  5. Step 5: Solve for x
    x = 33,581,318,625.46/288,075.42
  6. Step 6: Final answer
    x = 116,571.27

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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.