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Finding the Fourth Proportional to 255,168.55, 382,808.16 and 77,670.93

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Solution

The fourth proportional to 255,168.55, 382,808.16 and 77,670.93 is: 116,523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,168.55 : 382,808.16 = 77,670.93 : x
  2. Step 2: Convert to fraction form
    255,168.55/382,808.16 = 77,670.93/x
  3. Step 3: Cross multiply
    255,168.55x = 382,808.16 × 77,670.93
  4. Step 4: Simplify right side
    255,168.55x = 29,733,067,234.32
  5. Step 5: Solve for x
    x = 29,733,067,234.32/255,168.55
  6. Step 6: Final answer
    x = 116,523.25

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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.