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Finding the Fourth Proportional to 101,539, 152,315.82 and 31,409.32

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Solution

The fourth proportional to 101,539, 152,315.82 and 31,409.32 is: 47,116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,539 : 152,315.82 = 31,409.32 : x
  2. Step 2: Convert to fraction form
    101,539/152,315.82 = 31,409.32/x
  3. Step 3: Cross multiply
    101,539x = 152,315.82 × 31,409.32
  4. Step 4: Simplify right side
    101,539x = 4,784,136,331.44
  5. Step 5: Solve for x
    x = 4,784,136,331.44/101,539
  6. Step 6: Final answer
    x = 47,116.24

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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.