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Finding the Fourth Proportional to 172,478.30, 258,717.49 and 77,597.66

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Solution

The fourth proportional to 172,478.30, 258,717.49 and 77,597.66 is: 116,396.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,478.30 : 258,717.49 = 77,597.66 : x
  2. Step 2: Convert to fraction form
    172,478.30/258,717.49 = 77,597.66/x
  3. Step 3: Cross multiply
    172,478.30x = 258,717.49 × 77,597.66
  4. Step 4: Simplify right side
    172,478.30x = 20,075,872,277.87
  5. Step 5: Solve for x
    x = 20,075,872,277.87/172,478.30
  6. Step 6: Final answer
    x = 116,396.51

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1.5x scale

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.