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Finding the Fourth Proportional to 100,897.52, 151,343.08 and 30,774

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Solution

The fourth proportional to 100,897.52, 151,343.08 and 30,774 is: 46,160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,897.52 : 151,343.08 = 30,774 : x
  2. Step 2: Convert to fraction form
    100,897.52/151,343.08 = 30,774/x
  3. Step 3: Cross multiply
    100,897.52x = 151,343.08 × 30,774
  4. Step 4: Simplify right side
    100,897.52x = 4,657,431,943.92
  5. Step 5: Solve for x
    x = 4,657,431,943.92/100,897.52
  6. Step 6: Final answer
    x = 46,160.02

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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.