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Finding the Fourth Proportional to 70,782.89, 106,125.12 and 31,318.47

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Solution

The fourth proportional to 70,782.89, 106,125.12 and 31,318.47 is: 46,955.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,782.89 : 106,125.12 = 31,318.47 : x
  2. Step 2: Convert to fraction form
    70,782.89/106,125.12 = 31,318.47/x
  3. Step 3: Cross multiply
    70,782.89x = 106,125.12 × 31,318.47
  4. Step 4: Simplify right side
    70,782.89x = 3,323,676,386.97
  5. Step 5: Solve for x
    x = 3,323,676,386.97/70,782.89
  6. Step 6: Final answer
    x = 46,955.93

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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.