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Finding the Fourth Proportional to 249,013.94, 343,638.50 and 135,835.88

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Solution

The fourth proportional to 249,013.94, 343,638.50 and 135,835.88 is: 187,453.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,013.94 : 343,638.50 = 135,835.88 : x
  2. Step 2: Convert to fraction form
    249,013.94/343,638.50 = 135,835.88/x
  3. Step 3: Cross multiply
    249,013.94x = 343,638.50 × 135,835.88
  4. Step 4: Simplify right side
    249,013.94x = 46,678,435,652.01
  5. Step 5: Solve for x
    x = 46,678,435,652.01/249,013.94
  6. Step 6: Final answer
    x = 187,453.11

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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.