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Finding the Fourth Proportional to 181,310.76, 249,948.98 and 127,428.54

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Solution

The fourth proportional to 181,310.76, 249,948.98 and 127,428.54 is: 175,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,310.76 : 249,948.98 = 127,428.54 : x
  2. Step 2: Convert to fraction form
    181,310.76/249,948.98 = 127,428.54/x
  3. Step 3: Cross multiply
    181,310.76x = 249,948.98 × 127,428.54
  4. Step 4: Simplify right side
    181,310.76x = 31,850,633,595.89
  5. Step 5: Solve for x
    x = 31,850,633,595.89/181,310.76
  6. Step 6: Final answer
    x = 175,668.74

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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.