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Finding the Fourth Proportional to 145,806.50, 201,212.98 and 78,738.50

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Solution

The fourth proportional to 145,806.50, 201,212.98 and 78,738.50 is: 108,659.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,806.50 : 201,212.98 = 78,738.50 : x
  2. Step 2: Convert to fraction form
    145,806.50/201,212.98 = 78,738.50/x
  3. Step 3: Cross multiply
    145,806.50x = 201,212.98 × 78,738.50
  4. Step 4: Simplify right side
    145,806.50x = 15,843,208,225.73
  5. Step 5: Solve for x
    x = 15,843,208,225.73/145,806.50
  6. Step 6: Final answer
    x = 108,659.14

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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.