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Finding the Fourth Proportional to 77,357.70, 115,969.05 and 30,005.10

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Solution

The fourth proportional to 77,357.70, 115,969.05 and 30,005.10 is: 44,981.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,357.70 : 115,969.05 = 30,005.10 : x
  2. Step 2: Convert to fraction form
    77,357.70/115,969.05 = 30,005.10/x
  3. Step 3: Cross multiply
    77,357.70x = 115,969.05 × 30,005.10
  4. Step 4: Simplify right side
    77,357.70x = 3,479,662,942.16
  5. Step 5: Solve for x
    x = 3,479,662,942.16/77,357.70
  6. Step 6: Final answer
    x = 44,981.47

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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.