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Finding the Fourth Proportional to 105,020.94, 144,846.99 and 67,298.70

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Solution

The fourth proportional to 105,020.94, 144,846.99 and 67,298.70 is: 92,819.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,020.94 : 144,846.99 = 67,298.70 : x
  2. Step 2: Convert to fraction form
    105,020.94/144,846.99 = 67,298.70/x
  3. Step 3: Cross multiply
    105,020.94x = 144,846.99 × 67,298.70
  4. Step 4: Simplify right side
    105,020.94x = 9,748,014,125.91
  5. Step 5: Solve for x
    x = 9,748,014,125.91/105,020.94
  6. Step 6: Final answer
    x = 92,819.72

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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.