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Finding the Fourth Proportional to 77,216.72, 115,848.60 and 37,768.10

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Solution

The fourth proportional to 77,216.72, 115,848.60 and 37,768.10 is: 56,663.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,216.72 : 115,848.60 = 37,768.10 : x
  2. Step 2: Convert to fraction form
    77,216.72/115,848.60 = 37,768.10/x
  3. Step 3: Cross multiply
    77,216.72x = 115,848.60 × 37,768.10
  4. Step 4: Simplify right side
    77,216.72x = 4,375,381,509.66
  5. Step 5: Solve for x
    x = 4,375,381,509.66/77,216.72
  6. Step 6: Final answer
    x = 56,663.65

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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.