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Finding the Fourth Proportional to 106,475, 159,739.50 and 39,915.32

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Solution

The fourth proportional to 106,475, 159,739.50 and 39,915.32 is: 59,883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,475 : 159,739.50 = 39,915.32 : x
  2. Step 2: Convert to fraction form
    106,475/159,739.50 = 39,915.32/x
  3. Step 3: Cross multiply
    106,475x = 159,739.50 × 39,915.32
  4. Step 4: Simplify right side
    106,475x = 6,376,053,259.14
  5. Step 5: Solve for x
    x = 6,376,053,259.14/106,475
  6. Step 6: Final answer
    x = 59,883.10

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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.