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Finding the Fourth Proportional to 76,174.64, 105,130.41 and 45,977.30

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Solution

The fourth proportional to 76,174.64, 105,130.41 and 45,977.30 is: 63,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,174.64 : 105,130.41 = 45,977.30 : x
  2. Step 2: Convert to fraction form
    76,174.64/105,130.41 = 45,977.30/x
  3. Step 3: Cross multiply
    76,174.64x = 105,130.41 × 45,977.30
  4. Step 4: Simplify right side
    76,174.64x = 4,833,612,399.69
  5. Step 5: Solve for x
    x = 4,833,612,399.69/76,174.64
  6. Step 6: Final answer
    x = 63,454.35

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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.