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Finding the Fourth Proportional to 70,628.67, 105,970.28 and 31,157.91

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Solution

The fourth proportional to 70,628.67, 105,970.28 and 31,157.91 is: 46,748.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,628.67 : 105,970.28 = 31,157.91 : x
  2. Step 2: Convert to fraction form
    70,628.67/105,970.28 = 31,157.91/x
  3. Step 3: Cross multiply
    70,628.67x = 105,970.28 × 31,157.91
  4. Step 4: Simplify right side
    70,628.67x = 3,301,812,291.13
  5. Step 5: Solve for x
    x = 3,301,812,291.13/70,628.67
  6. Step 6: Final answer
    x = 46,748.90

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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.