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Finding the Fourth Proportional to 70,212.24, 105,354 and 40,656.96

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Solution

The fourth proportional to 70,212.24, 105,354 and 40,656.96 is: 61,006.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,212.24 : 105,354 = 40,656.96 : x
  2. Step 2: Convert to fraction form
    70,212.24/105,354 = 40,656.96/x
  3. Step 3: Cross multiply
    70,212.24x = 105,354 × 40,656.96
  4. Step 4: Simplify right side
    70,212.24x = 4,283,373,363.84
  5. Step 5: Solve for x
    x = 4,283,373,363.84/70,212.24
  6. Step 6: Final answer
    x = 61,006.08

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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.