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Finding the Fourth Proportional to 249,498.81, 344,311.64 and 142,069.27

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Solution

The fourth proportional to 249,498.81, 344,311.64 and 142,069.27 is: 196,057.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,498.81 : 344,311.64 = 142,069.27 : x
  2. Step 2: Convert to fraction form
    249,498.81/344,311.64 = 142,069.27/x
  3. Step 3: Cross multiply
    249,498.81x = 344,311.64 × 142,069.27
  4. Step 4: Simplify right side
    249,498.81x = 48,916,103,753.66
  5. Step 5: Solve for x
    x = 48,916,103,753.66/249,498.81
  6. Step 6: Final answer
    x = 196,057.46

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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.