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Finding the Fourth Proportional to 180,053, 248,473.14 and 100,565

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Solution

The fourth proportional to 180,053, 248,473.14 and 100,565 is: 138,779.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,053 : 248,473.14 = 100,565 : x
  2. Step 2: Convert to fraction form
    180,053/248,473.14 = 100,565/x
  3. Step 3: Cross multiply
    180,053x = 248,473.14 × 100,565
  4. Step 4: Simplify right side
    180,053x = 24,987,701,324.10
  5. Step 5: Solve for x
    x = 24,987,701,324.10/180,053
  6. Step 6: Final answer
    x = 138,779.70

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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.