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Finding the Fourth Proportional to 74,502, 111,752.46 and 30,128.22

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Solution

The fourth proportional to 74,502, 111,752.46 and 30,128.22 is: 45,192.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,502 : 111,752.46 = 30,128.22 : x
  2. Step 2: Convert to fraction form
    74,502/111,752.46 = 30,128.22/x
  3. Step 3: Cross multiply
    74,502x = 111,752.46 × 30,128.22
  4. Step 4: Simplify right side
    74,502x = 3,366,902,700.42
  5. Step 5: Solve for x
    x = 3,366,902,700.42/74,502
  6. Step 6: Final answer
    x = 45,192.11

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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.