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Finding the Fourth Proportional to 70,615.68, 105,886.08 and 31,127.04

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Solution

The fourth proportional to 70,615.68, 105,886.08 and 31,127.04 is: 46,674.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,615.68 : 105,886.08 = 31,127.04 : x
  2. Step 2: Convert to fraction form
    70,615.68/105,886.08 = 31,127.04/x
  3. Step 3: Cross multiply
    70,615.68x = 105,886.08 × 31,127.04
  4. Step 4: Simplify right side
    70,615.68x = 3,295,920,247.60
  5. Step 5: Solve for x
    x = 3,295,920,247.60/70,615.68
  6. Step 6: Final answer
    x = 46,674.06

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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.