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Finding the Fourth Proportional to 151,725.50, 209,381.19 and 84,657.50

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Solution

The fourth proportional to 151,725.50, 209,381.19 and 84,657.50 is: 116,827.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,725.50 : 209,381.19 = 84,657.50 : x
  2. Step 2: Convert to fraction form
    151,725.50/209,381.19 = 84,657.50/x
  3. Step 3: Cross multiply
    151,725.50x = 209,381.19 × 84,657.50
  4. Step 4: Simplify right side
    151,725.50x = 17,725,688,092.43
  5. Step 5: Solve for x
    x = 17,725,688,092.43/151,725.50
  6. Step 6: Final answer
    x = 116,827.35

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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.