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Finding the Fourth Proportional to 342,611.70, 513,941.85 and 105,973.44

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Solution

The fourth proportional to 342,611.70, 513,941.85 and 105,973.44 is: 158,967.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,611.70 : 513,941.85 = 105,973.44 : x
  2. Step 2: Convert to fraction form
    342,611.70/513,941.85 = 105,973.44/x
  3. Step 3: Cross multiply
    342,611.70x = 513,941.85 × 105,973.44
  4. Step 4: Simplify right side
    342,611.70x = 54,464,185,804.46
  5. Step 5: Solve for x
    x = 54,464,185,804.46/342,611.70
  6. Step 6: Final answer
    x = 158,967.68

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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.