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Finding the Fourth Proportional to 101,433.26, 152,146.25 and 31,312.58

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Solution

The fourth proportional to 101,433.26, 152,146.25 and 31,312.58 is: 46,967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,433.26 : 152,146.25 = 31,312.58 : x
  2. Step 2: Convert to fraction form
    101,433.26/152,146.25 = 31,312.58/x
  3. Step 3: Cross multiply
    101,433.26x = 152,146.25 × 31,312.58
  4. Step 4: Simplify right side
    101,433.26x = 4,764,090,824.95
  5. Step 5: Solve for x
    x = 4,764,090,824.95/101,433.26
  6. Step 6: Final answer
    x = 46,967.74

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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.