Home / 102,072.04-153,114-30,997

Finding the Fourth Proportional to 102,072.04, 153,114 and 30,997

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Solution

The fourth proportional to 102,072.04, 153,114 and 30,997 is: 46,497.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,072.04 : 153,114 = 30,997 : x
  2. Step 2: Convert to fraction form
    102,072.04/153,114 = 30,997/x
  3. Step 3: Cross multiply
    102,072.04x = 153,114 × 30,997
  4. Step 4: Simplify right side
    102,072.04x = 4,746,074,658
  5. Step 5: Solve for x
    x = 4,746,074,658/102,072.04
  6. Step 6: Final answer
    x = 46,497.30

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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.