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Finding the Fourth Proportional to 76,032.16, 114,048.30 and 20,628.16

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Solution

The fourth proportional to 76,032.16, 114,048.30 and 20,628.16 is: 30,942.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,032.16 : 114,048.30 = 20,628.16 : x
  2. Step 2: Convert to fraction form
    76,032.16/114,048.30 = 20,628.16/x
  3. Step 3: Cross multiply
    76,032.16x = 114,048.30 × 20,628.16
  4. Step 4: Simplify right side
    76,032.16x = 2,352,606,580.13
  5. Step 5: Solve for x
    x = 2,352,606,580.13/76,032.16
  6. Step 6: Final answer
    x = 30,942.26

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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.