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Finding the Fourth Proportional to 249,288, 344,019.12 and 136,112.16

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Solution

The fourth proportional to 249,288, 344,019.12 and 136,112.16 is: 187,835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,288 : 344,019.12 = 136,112.16 : x
  2. Step 2: Convert to fraction form
    249,288/344,019.12 = 136,112.16/x
  3. Step 3: Cross multiply
    249,288x = 344,019.12 × 136,112.16
  4. Step 4: Simplify right side
    249,288x = 46,825,185,504.50
  5. Step 5: Solve for x
    x = 46,825,185,504.50/249,288
  6. Step 6: Final answer
    x = 187,835.70

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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.