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Finding the Fourth Proportional to 101,344, 152,036.16 and 31,220.32

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Solution

The fourth proportional to 101,344, 152,036.16 and 31,220.32 is: 46,836.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,344 : 152,036.16 = 31,220.32 : x
  2. Step 2: Convert to fraction form
    101,344/152,036.16 = 31,220.32/x
  3. Step 3: Cross multiply
    101,344x = 152,036.16 × 31,220.32
  4. Step 4: Simplify right side
    101,344x = 4,746,617,566.77
  5. Step 5: Solve for x
    x = 4,746,617,566.77/101,344
  6. Step 6: Final answer
    x = 46,836.69

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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.