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Finding the Fourth Proportional to 65,838.73, 90,856.80 and 35,623.39

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Solution

The fourth proportional to 65,838.73, 90,856.80 and 35,623.39 is: 49,159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,838.73 : 90,856.80 = 35,623.39 : x
  2. Step 2: Convert to fraction form
    65,838.73/90,856.80 = 35,623.39/x
  3. Step 3: Cross multiply
    65,838.73x = 90,856.80 × 35,623.39
  4. Step 4: Simplify right side
    65,838.73x = 3,236,627,416.77
  5. Step 5: Solve for x
    x = 3,236,627,416.77/65,838.73
  6. Step 6: Final answer
    x = 49,159.93

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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.