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Finding the Fourth Proportional to 249,659.81, 344,505.82 and 142,223.43

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Solution

The fourth proportional to 249,659.81, 344,505.82 and 142,223.43 is: 196,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,659.81 : 344,505.82 = 142,223.43 : x
  2. Step 2: Convert to fraction form
    249,659.81/344,505.82 = 142,223.43/x
  3. Step 3: Cross multiply
    249,659.81x = 344,505.82 × 142,223.43
  4. Step 4: Simplify right side
    249,659.81x = 48,996,799,375.36
  5. Step 5: Solve for x
    x = 48,996,799,375.36/249,659.81
  6. Step 6: Final answer
    x = 196,254.25

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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.