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Finding the Fourth Proportional to 181,564.74, 272,194.02 and 86,741.28

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Solution

The fourth proportional to 181,564.74, 272,194.02 and 86,741.28 is: 130,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,564.74 : 272,194.02 = 86,741.28 : x
  2. Step 2: Convert to fraction form
    181,564.74/272,194.02 = 86,741.28/x
  3. Step 3: Cross multiply
    181,564.74x = 272,194.02 × 86,741.28
  4. Step 4: Simplify right side
    181,564.74x = 23,610,457,703.15
  5. Step 5: Solve for x
    x = 23,610,457,703.15/181,564.74
  6. Step 6: Final answer
    x = 130,038.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.