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Finding the Fourth Proportional to 249,140.25, 343,813.45 and 135,963

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Solution

The fourth proportional to 249,140.25, 343,813.45 and 135,963 is: 187,628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,140.25 : 343,813.45 = 135,963 : x
  2. Step 2: Convert to fraction form
    249,140.25/343,813.45 = 135,963/x
  3. Step 3: Cross multiply
    249,140.25x = 343,813.45 × 135,963
  4. Step 4: Simplify right side
    249,140.25x = 46,745,908,102.35
  5. Step 5: Solve for x
    x = 46,745,908,102.35/249,140.25
  6. Step 6: Final answer
    x = 187,628.89

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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.