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Finding the Fourth Proportional to 70,010, 105,063.64 and 28,457.04

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Solution

The fourth proportional to 70,010, 105,063.64 and 28,457.04 is: 42,705.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,010 : 105,063.64 = 28,457.04 : x
  2. Step 2: Convert to fraction form
    70,010/105,063.64 = 28,457.04/x
  3. Step 3: Cross multiply
    70,010x = 105,063.64 × 28,457.04
  4. Step 4: Simplify right side
    70,010x = 2,989,800,206.03
  5. Step 5: Solve for x
    x = 2,989,800,206.03/70,010
  6. Step 6: Final answer
    x = 42,705.33

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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.