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Finding the Fourth Proportional to 139,777.68, 209,663.88 and 34,596.60

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Solution

The fourth proportional to 139,777.68, 209,663.88 and 34,596.60 is: 51,894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,777.68 : 209,663.88 = 34,596.60 : x
  2. Step 2: Convert to fraction form
    139,777.68/209,663.88 = 34,596.60/x
  3. Step 3: Cross multiply
    139,777.68x = 209,663.88 × 34,596.60
  4. Step 4: Simplify right side
    139,777.68x = 7,253,657,390.81
  5. Step 5: Solve for x
    x = 7,253,657,390.81/139,777.68
  6. Step 6: Final answer
    x = 51,894.25

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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.