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Finding the Fourth Proportional to 77,303.94, 106,497.36 and 72,653.82

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Solution

The fourth proportional to 77,303.94, 106,497.36 and 72,653.82 is: 100,091.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,303.94 : 106,497.36 = 72,653.82 : x
  2. Step 2: Convert to fraction form
    77,303.94/106,497.36 = 72,653.82/x
  3. Step 3: Cross multiply
    77,303.94x = 106,497.36 × 72,653.82
  4. Step 4: Simplify right side
    77,303.94x = 7,737,440,023.92
  5. Step 5: Solve for x
    x = 7,737,440,023.92/77,303.94
  6. Step 6: Final answer
    x = 100,091.15

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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.