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Finding the Fourth Proportional to 154,978.65, 213,815.57 and 101,294.64

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Solution

The fourth proportional to 154,978.65, 213,815.57 and 101,294.64 is: 139,750.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,978.65 : 213,815.57 = 101,294.64 : x
  2. Step 2: Convert to fraction form
    154,978.65/213,815.57 = 101,294.64/x
  3. Step 3: Cross multiply
    154,978.65x = 213,815.57 × 101,294.64
  4. Step 4: Simplify right side
    154,978.65x = 21,658,370,683.07
  5. Step 5: Solve for x
    x = 21,658,370,683.07/154,978.65
  6. Step 6: Final answer
    x = 139,750.67

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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.