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Finding the Fourth Proportional to 77,952.44, 107,631.89 and 47,778.93

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Solution

The fourth proportional to 77,952.44, 107,631.89 and 47,778.93 is: 65,970.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,952.44 : 107,631.89 = 47,778.93 : x
  2. Step 2: Convert to fraction form
    77,952.44/107,631.89 = 47,778.93/x
  3. Step 3: Cross multiply
    77,952.44x = 107,631.89 × 47,778.93
  4. Step 4: Simplify right side
    77,952.44x = 5,142,536,478.35
  5. Step 5: Solve for x
    x = 5,142,536,478.35/77,952.44
  6. Step 6: Final answer
    x = 65,970.18

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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.