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Finding the Fourth Proportional to 77,643.36, 107,138.70 and 45,811.98

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Solution

The fourth proportional to 77,643.36, 107,138.70 and 45,811.98 is: 63,215.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,643.36 : 107,138.70 = 45,811.98 : x
  2. Step 2: Convert to fraction form
    77,643.36/107,138.70 = 45,811.98/x
  3. Step 3: Cross multiply
    77,643.36x = 107,138.70 × 45,811.98
  4. Step 4: Simplify right side
    77,643.36x = 4,908,235,981.63
  5. Step 5: Solve for x
    x = 4,908,235,981.63/77,643.36
  6. Step 6: Final answer
    x = 63,215.14

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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.