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Finding the Fourth Proportional to 105,163, 157,738.74 and 42,885.88

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Solution

The fourth proportional to 105,163, 157,738.74 and 42,885.88 is: 64,326.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,163 : 157,738.74 = 42,885.88 : x
  2. Step 2: Convert to fraction form
    105,163/157,738.74 = 42,885.88/x
  3. Step 3: Cross multiply
    105,163x = 157,738.74 × 42,885.88
  4. Step 4: Simplify right side
    105,163x = 6,764,764,674.99
  5. Step 5: Solve for x
    x = 6,764,764,674.99/105,163
  6. Step 6: Final answer
    x = 64,326.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.