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Finding the Fourth Proportional to 153,540.94, 211,886.91 and 89,022.68

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Solution

The fourth proportional to 153,540.94, 211,886.91 and 89,022.68 is: 122,851.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,540.94 : 211,886.91 = 89,022.68 : x
  2. Step 2: Convert to fraction form
    153,540.94/211,886.91 = 89,022.68/x
  3. Step 3: Cross multiply
    153,540.94x = 211,886.91 × 89,022.68
  4. Step 4: Simplify right side
    153,540.94x = 18,862,740,585.12
  5. Step 5: Solve for x
    x = 18,862,740,585.12/153,540.94
  6. Step 6: Final answer
    x = 122,851.54

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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.