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Finding the Fourth Proportional to 180,044, 248,460.72 and 100,556

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Solution

The fourth proportional to 180,044, 248,460.72 and 100,556 is: 138,767.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,044 : 248,460.72 = 100,556 : x
  2. Step 2: Convert to fraction form
    180,044/248,460.72 = 100,556/x
  3. Step 3: Cross multiply
    180,044x = 248,460.72 × 100,556
  4. Step 4: Simplify right side
    180,044x = 24,984,216,160.32
  5. Step 5: Solve for x
    x = 24,984,216,160.32/180,044
  6. Step 6: Final answer
    x = 138,767.28

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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.