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Finding the Fourth Proportional to 77,154.09, 106,472.12 and 43,162.42

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Solution

The fourth proportional to 77,154.09, 106,472.12 and 43,162.42 is: 59,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,154.09 : 106,472.12 = 43,162.42 : x
  2. Step 2: Convert to fraction form
    77,154.09/106,472.12 = 43,162.42/x
  3. Step 3: Cross multiply
    77,154.09x = 106,472.12 × 43,162.42
  4. Step 4: Simplify right side
    77,154.09x = 4,595,594,322.16
  5. Step 5: Solve for x
    x = 4,595,594,322.16/77,154.09
  6. Step 6: Final answer
    x = 59,563.84

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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.