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Finding the Fourth Proportional to 181,533.80, 272,070.30 and 161,719.40

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Solution

The fourth proportional to 181,533.80, 272,070.30 and 161,719.40 is: 242,373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,533.80 : 272,070.30 = 161,719.40 : x
  2. Step 2: Convert to fraction form
    181,533.80/272,070.30 = 161,719.40/x
  3. Step 3: Cross multiply
    181,533.80x = 272,070.30 × 161,719.40
  4. Step 4: Simplify right side
    181,533.80x = 43,999,045,673.82
  5. Step 5: Solve for x
    x = 43,999,045,673.82/181,533.80
  6. Step 6: Final answer
    x = 242,373.85

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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.