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Finding the Fourth Proportional to 140,620.32, 210,862.32 and 51,915.60

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Solution

The fourth proportional to 140,620.32, 210,862.32 and 51,915.60 is: 77,848.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,620.32 : 210,862.32 = 51,915.60 : x
  2. Step 2: Convert to fraction form
    140,620.32/210,862.32 = 51,915.60/x
  3. Step 3: Cross multiply
    140,620.32x = 210,862.32 × 51,915.60
  4. Step 4: Simplify right side
    140,620.32x = 10,947,043,860.19
  5. Step 5: Solve for x
    x = 10,947,043,860.19/140,620.32
  6. Step 6: Final answer
    x = 77,848.24

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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.