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Finding the Fourth Proportional to 76,509.90, 114,764.85 and 29,762.78

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Solution

The fourth proportional to 76,509.90, 114,764.85 and 29,762.78 is: 44,644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,509.90 : 114,764.85 = 29,762.78 : x
  2. Step 2: Convert to fraction form
    76,509.90/114,764.85 = 29,762.78/x
  3. Step 3: Cross multiply
    76,509.90x = 114,764.85 × 29,762.78
  4. Step 4: Simplify right side
    76,509.90x = 3,415,720,408.46
  5. Step 5: Solve for x
    x = 3,415,720,408.46/76,509.90
  6. Step 6: Final answer
    x = 44,644.16

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1.5x scale

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.