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Finding the Fourth Proportional to 181,013.76, 249,812.72 and 100,456.56

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Solution

The fourth proportional to 181,013.76, 249,812.72 and 100,456.56 is: 138,637.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,013.76 : 249,812.72 = 100,456.56 : x
  2. Step 2: Convert to fraction form
    181,013.76/249,812.72 = 100,456.56/x
  3. Step 3: Cross multiply
    181,013.76x = 249,812.72 × 100,456.56
  4. Step 4: Simplify right side
    181,013.76x = 25,095,326,495.44
  5. Step 5: Solve for x
    x = 25,095,326,495.44/181,013.76
  6. Step 6: Final answer
    x = 138,637.67

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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.