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Finding the Fourth Proportional to 105,016.46, 144,808.13 and 70,965.89

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Solution

The fourth proportional to 105,016.46, 144,808.13 and 70,965.89 is: 97,855.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,016.46 : 144,808.13 = 70,965.89 : x
  2. Step 2: Convert to fraction form
    105,016.46/144,808.13 = 70,965.89/x
  3. Step 3: Cross multiply
    105,016.46x = 144,808.13 × 70,965.89
  4. Step 4: Simplify right side
    105,016.46x = 10,276,436,745.82
  5. Step 5: Solve for x
    x = 10,276,436,745.82/105,016.46
  6. Step 6: Final answer
    x = 97,855.49

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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.