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Finding the Fourth Proportional to 70,669.67, 105,988.30 and 42,214.64

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Solution

The fourth proportional to 70,669.67, 105,988.30 and 42,214.64 is: 63,312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,669.67 : 105,988.30 = 42,214.64 : x
  2. Step 2: Convert to fraction form
    70,669.67/105,988.30 = 42,214.64/x
  3. Step 3: Cross multiply
    70,669.67x = 105,988.30 × 42,214.64
  4. Step 4: Simplify right side
    70,669.67x = 4,474,257,293.23
  5. Step 5: Solve for x
    x = 4,474,257,293.23/70,669.67
  6. Step 6: Final answer
    x = 63,312.28

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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.