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Finding the Fourth Proportional to 165,090.06, 227,823.03 and 89,639.10

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Solution

The fourth proportional to 165,090.06, 227,823.03 and 89,639.10 is: 123,701.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,090.06 : 227,823.03 = 89,639.10 : x
  2. Step 2: Convert to fraction form
    165,090.06/227,823.03 = 89,639.10/x
  3. Step 3: Cross multiply
    165,090.06x = 227,823.03 × 89,639.10
  4. Step 4: Simplify right side
    165,090.06x = 20,421,851,368.47
  5. Step 5: Solve for x
    x = 20,421,851,368.47/165,090.06
  6. Step 6: Final answer
    x = 123,701.28

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1.5x scale

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.