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Finding the Fourth Proportional to 139,701, 209,405.63 and 64,759.35

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Solution

The fourth proportional to 139,701, 209,405.63 and 64,759.35 is: 97,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,701 : 209,405.63 = 64,759.35 : x
  2. Step 2: Convert to fraction form
    139,701/209,405.63 = 64,759.35/x
  3. Step 3: Cross multiply
    139,701x = 209,405.63 × 64,759.35
  4. Step 4: Simplify right side
    139,701x = 13,560,972,161.34
  5. Step 5: Solve for x
    x = 13,560,972,161.34/139,701
  6. Step 6: Final answer
    x = 97,071.40

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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.