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Finding the Fourth Proportional to 100,764.34, 139,055.44 and 55,445.20

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Solution

The fourth proportional to 100,764.34, 139,055.44 and 55,445.20 is: 76,514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,764.34 : 139,055.44 = 55,445.20 : x
  2. Step 2: Convert to fraction form
    100,764.34/139,055.44 = 55,445.20/x
  3. Step 3: Cross multiply
    100,764.34x = 139,055.44 × 55,445.20
  4. Step 4: Simplify right side
    100,764.34x = 7,709,956,681.89
  5. Step 5: Solve for x
    x = 7,709,956,681.89/100,764.34
  6. Step 6: Final answer
    x = 76,514.73

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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.