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Finding the Fourth Proportional to 171,521.84, 257,282.76 and 78,054.32

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Solution

The fourth proportional to 171,521.84, 257,282.76 and 78,054.32 is: 117,081.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,521.84 : 257,282.76 = 78,054.32 : x
  2. Step 2: Convert to fraction form
    171,521.84/257,282.76 = 78,054.32/x
  3. Step 3: Cross multiply
    171,521.84x = 257,282.76 × 78,054.32
  4. Step 4: Simplify right side
    171,521.84x = 20,082,029,593.11
  5. Step 5: Solve for x
    x = 20,082,029,593.11/171,521.84
  6. Step 6: Final answer
    x = 117,081.48

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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.