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Finding the Fourth Proportional to 172,478.46, 258,717.76 and 77,597.84

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Solution

The fourth proportional to 172,478.46, 258,717.76 and 77,597.84 is: 116,396.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,478.46 : 258,717.76 = 77,597.84 : x
  2. Step 2: Convert to fraction form
    172,478.46/258,717.76 = 77,597.84/x
  3. Step 3: Cross multiply
    172,478.46x = 258,717.76 × 77,597.84
  4. Step 4: Simplify right side
    172,478.46x = 20,075,939,345.64
  5. Step 5: Solve for x
    x = 20,075,939,345.64/172,478.46
  6. Step 6: Final answer
    x = 116,396.79

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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.