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Finding the Fourth Proportional to 181,142.86, 249,967.38 and 100,565.20

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Solution

The fourth proportional to 181,142.86, 249,967.38 and 100,565.20 is: 138,774.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,142.86 : 249,967.38 = 100,565.20 : x
  2. Step 2: Convert to fraction form
    181,142.86/249,967.38 = 100,565.20/x
  3. Step 3: Cross multiply
    181,142.86x = 249,967.38 × 100,565.20
  4. Step 4: Simplify right side
    181,142.86x = 25,138,019,563.18
  5. Step 5: Solve for x
    x = 25,138,019,563.18/181,142.86
  6. Step 6: Final answer
    x = 138,774.55

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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.