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Finding the Fourth Proportional to 76,477.46, 105,527.49 and 42,936.98

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Solution

The fourth proportional to 76,477.46, 105,527.49 and 42,936.98 is: 59,246.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,477.46 : 105,527.49 = 42,936.98 : x
  2. Step 2: Convert to fraction form
    76,477.46/105,527.49 = 42,936.98/x
  3. Step 3: Cross multiply
    76,477.46x = 105,527.49 × 42,936.98
  4. Step 4: Simplify right side
    76,477.46x = 4,531,031,727.58
  5. Step 5: Solve for x
    x = 4,531,031,727.58/76,477.46
  6. Step 6: Final answer
    x = 59,246.63

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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.