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Finding the Fourth Proportional to 140,110, 210,166.80 and 46,615.78

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Solution

The fourth proportional to 140,110, 210,166.80 and 46,615.78 is: 69,924.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,110 : 210,166.80 = 46,615.78 : x
  2. Step 2: Convert to fraction form
    140,110/210,166.80 = 46,615.78/x
  3. Step 3: Cross multiply
    140,110x = 210,166.80 × 46,615.78
  4. Step 4: Simplify right side
    140,110x = 9,797,089,312.10
  5. Step 5: Solve for x
    x = 9,797,089,312.10/140,110
  6. Step 6: Final answer
    x = 69,924.27

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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.