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Finding the Fourth Proportional to 77,654.28, 107,020.80 and 56,396.64

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Solution

The fourth proportional to 77,654.28, 107,020.80 and 56,396.64 is: 77,724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,654.28 : 107,020.80 = 56,396.64 : x
  2. Step 2: Convert to fraction form
    77,654.28/107,020.80 = 56,396.64/x
  3. Step 3: Cross multiply
    77,654.28x = 107,020.80 × 56,396.64
  4. Step 4: Simplify right side
    77,654.28x = 6,035,613,530.11
  5. Step 5: Solve for x
    x = 6,035,613,530.11/77,654.28
  6. Step 6: Final answer
    x = 77,724.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.