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Finding the Fourth Proportional to 100,955.52, 151,454.88 and 30,840

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Solution

The fourth proportional to 100,955.52, 151,454.88 and 30,840 is: 46,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,955.52 : 151,454.88 = 30,840 : x
  2. Step 2: Convert to fraction form
    100,955.52/151,454.88 = 30,840/x
  3. Step 3: Cross multiply
    100,955.52x = 151,454.88 × 30,840
  4. Step 4: Simplify right side
    100,955.52x = 4,670,868,499.20
  5. Step 5: Solve for x
    x = 4,670,868,499.20/100,955.52
  6. Step 6: Final answer
    x = 46,266.60

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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.