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Finding the Fourth Proportional to 208,915.20, 313,577.60 and 103,852.80

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Solution

The fourth proportional to 208,915.20, 313,577.60 and 103,852.80 is: 155,881.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,915.20 : 313,577.60 = 103,852.80 : x
  2. Step 2: Convert to fraction form
    208,915.20/313,577.60 = 103,852.80/x
  3. Step 3: Cross multiply
    208,915.20x = 313,577.60 × 103,852.80
  4. Step 4: Simplify right side
    208,915.20x = 32,565,911,777.28
  5. Step 5: Solve for x
    x = 32,565,911,777.28/208,915.20
  6. Step 6: Final answer
    x = 155,881.01

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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.