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Finding the Fourth Proportional to 181,813.20, 272,463.80 and 144,437.20

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Solution

The fourth proportional to 181,813.20, 272,463.80 and 144,437.20 is: 216,452.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,813.20 : 272,463.80 = 144,437.20 : x
  2. Step 2: Convert to fraction form
    181,813.20/272,463.80 = 144,437.20/x
  3. Step 3: Cross multiply
    181,813.20x = 272,463.80 × 144,437.20
  4. Step 4: Simplify right side
    181,813.20x = 39,353,908,373.36
  5. Step 5: Solve for x
    x = 39,353,908,373.36/181,813.20
  6. Step 6: Final answer
    x = 216,452.43

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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.