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Finding the Fourth Proportional to 77,876.63, 107,469.66 and 42,066.63

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Solution

The fourth proportional to 77,876.63, 107,469.66 and 42,066.63 is: 58,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,876.63 : 107,469.66 = 42,066.63 : x
  2. Step 2: Convert to fraction form
    77,876.63/107,469.66 = 42,066.63/x
  3. Step 3: Cross multiply
    77,876.63x = 107,469.66 × 42,066.63
  4. Step 4: Simplify right side
    77,876.63x = 4,520,886,423.45
  5. Step 5: Solve for x
    x = 4,520,886,423.45/77,876.63
  6. Step 6: Final answer
    x = 58,051.90

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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.