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Finding the Fourth Proportional to 100,739.88, 139,022.82 and 55,421.64

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Solution

The fourth proportional to 100,739.88, 139,022.82 and 55,421.64 is: 76,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,739.88 : 139,022.82 = 55,421.64 : x
  2. Step 2: Convert to fraction form
    100,739.88/139,022.82 = 55,421.64/x
  3. Step 3: Cross multiply
    100,739.88x = 139,022.82 × 55,421.64
  4. Step 4: Simplify right side
    100,739.88x = 7,704,872,681.82
  5. Step 5: Solve for x
    x = 7,704,872,681.82/100,739.88
  6. Step 6: Final answer
    x = 76,482.85

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1.5x scale

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.