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Finding the Fourth Proportional to 249,564, 344,378.70 and 142,112.64

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Solution

The fourth proportional to 249,564, 344,378.70 and 142,112.64 is: 196,104.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,564 : 344,378.70 = 142,112.64 : x
  2. Step 2: Convert to fraction form
    249,564/344,378.70 = 142,112.64/x
  3. Step 3: Cross multiply
    249,564x = 344,378.70 × 142,112.64
  4. Step 4: Simplify right side
    249,564x = 48,940,566,216.77
  5. Step 5: Solve for x
    x = 48,940,566,216.77/249,564
  6. Step 6: Final answer
    x = 196,104.27

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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.