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Finding the Fourth Proportional to 255,200.80, 382,882.80 and 77,741.60

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Solution

The fourth proportional to 255,200.80, 382,882.80 and 77,741.60 is: 116,637.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,200.80 : 382,882.80 = 77,741.60 : x
  2. Step 2: Convert to fraction form
    255,200.80/382,882.80 = 77,741.60/x
  3. Step 3: Cross multiply
    255,200.80x = 382,882.80 × 77,741.60
  4. Step 4: Simplify right side
    255,200.80x = 29,765,921,484.48
  5. Step 5: Solve for x
    x = 29,765,921,484.48/255,200.80
  6. Step 6: Final answer
    x = 116,637.26

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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.