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Finding the Fourth Proportional to 155,915.70, 233,942.40 and 75,909.30

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Solution

The fourth proportional to 155,915.70, 233,942.40 and 75,909.30 is: 113,897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,915.70 : 233,942.40 = 75,909.30 : x
  2. Step 2: Convert to fraction form
    155,915.70/233,942.40 = 75,909.30/x
  3. Step 3: Cross multiply
    155,915.70x = 233,942.40 × 75,909.30
  4. Step 4: Simplify right side
    155,915.70x = 17,758,403,824.32
  5. Step 5: Solve for x
    x = 17,758,403,824.32/155,915.70
  6. Step 6: Final answer
    x = 113,897.47

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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.