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Finding the Fourth Proportional to 181,012.56, 249,803.04 and 100,446

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Solution

The fourth proportional to 181,012.56, 249,803.04 and 100,446 is: 138,618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,012.56 : 249,803.04 = 100,446 : x
  2. Step 2: Convert to fraction form
    181,012.56/249,803.04 = 100,446/x
  3. Step 3: Cross multiply
    181,012.56x = 249,803.04 × 100,446
  4. Step 4: Simplify right side
    181,012.56x = 25,091,716,155.84
  5. Step 5: Solve for x
    x = 25,091,716,155.84/181,012.56
  6. Step 6: Final answer
    x = 138,618.65

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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.