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Finding the Fourth Proportional to 76,950.94, 105,955.43 and 65,594.98

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Solution

The fourth proportional to 76,950.94, 105,955.43 and 65,594.98 is: 90,319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,950.94 : 105,955.43 = 65,594.98 : x
  2. Step 2: Convert to fraction form
    76,950.94/105,955.43 = 65,594.98/x
  3. Step 3: Cross multiply
    76,950.94x = 105,955.43 × 65,594.98
  4. Step 4: Simplify right side
    76,950.94x = 6,950,144,311.74
  5. Step 5: Solve for x
    x = 6,950,144,311.74/76,950.94
  6. Step 6: Final answer
    x = 90,319.16

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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.