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Finding the Fourth Proportional to 249,035.98, 343,675.12 and 135,858.64

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Solution

The fourth proportional to 249,035.98, 343,675.12 and 135,858.64 is: 187,487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,035.98 : 343,675.12 = 135,858.64 : x
  2. Step 2: Convert to fraction form
    249,035.98/343,675.12 = 135,858.64/x
  3. Step 3: Cross multiply
    249,035.98x = 343,675.12 × 135,858.64
  4. Step 4: Simplify right side
    249,035.98x = 46,691,234,405.04
  5. Step 5: Solve for x
    x = 46,691,234,405.04/249,035.98
  6. Step 6: Final answer
    x = 187,487.91

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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.