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Finding the Fourth Proportional to 249,983.36, 344,978.16 and 136,805.84

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Solution

The fourth proportional to 249,983.36, 344,978.16 and 136,805.84 is: 188,792.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,983.36 : 344,978.16 = 136,805.84 : x
  2. Step 2: Convert to fraction form
    249,983.36/344,978.16 = 136,805.84/x
  3. Step 3: Cross multiply
    249,983.36x = 344,978.16 × 136,805.84
  4. Step 4: Simplify right side
    249,983.36x = 47,195,026,960.45
  5. Step 5: Solve for x
    x = 47,195,026,960.45/249,983.36
  6. Step 6: Final answer
    x = 188,792.67

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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.