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Finding the Fourth Proportional to 100,235.16, 138,319.38 and 57,791.16

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Solution

The fourth proportional to 100,235.16, 138,319.38 and 57,791.16 is: 79,748.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,235.16 : 138,319.38 = 57,791.16 : x
  2. Step 2: Convert to fraction form
    100,235.16/138,319.38 = 57,791.16/x
  3. Step 3: Cross multiply
    100,235.16x = 138,319.38 × 57,791.16
  4. Step 4: Simplify right side
    100,235.16x = 7,993,637,420.68
  5. Step 5: Solve for x
    x = 7,993,637,420.68/100,235.16
  6. Step 6: Final answer
    x = 79,748.84

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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.