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Finding the Fourth Proportional to 153,188.84, 229,725.86 and 68,945.60

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Solution

The fourth proportional to 153,188.84, 229,725.86 and 68,945.60 is: 103,392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,188.84 : 229,725.86 = 68,945.60 : x
  2. Step 2: Convert to fraction form
    153,188.84/229,725.86 = 68,945.60/x
  3. Step 3: Cross multiply
    153,188.84x = 229,725.86 × 68,945.60
  4. Step 4: Simplify right side
    153,188.84x = 15,838,587,482.80
  5. Step 5: Solve for x
    x = 15,838,587,482.80/153,188.84
  6. Step 6: Final answer
    x = 103,392.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.