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Finding the Fourth Proportional to 76,392.89, 105,421.82 and 42,401.78

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Solution

The fourth proportional to 76,392.89, 105,421.82 and 42,401.78 is: 58,514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,392.89 : 105,421.82 = 42,401.78 : x
  2. Step 2: Convert to fraction form
    76,392.89/105,421.82 = 42,401.78/x
  3. Step 3: Cross multiply
    76,392.89x = 105,421.82 × 42,401.78
  4. Step 4: Simplify right side
    76,392.89x = 4,470,072,079.72
  5. Step 5: Solve for x
    x = 4,470,072,079.72/76,392.89
  6. Step 6: Final answer
    x = 58,514.25

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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.