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Finding the Fourth Proportional to 101,098.95, 151,642.95 and 30,978.46

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Solution

The fourth proportional to 101,098.95, 151,642.95 and 30,978.46 is: 46,466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,098.95 : 151,642.95 = 30,978.46 : x
  2. Step 2: Convert to fraction form
    101,098.95/151,642.95 = 30,978.46/x
  3. Step 3: Cross multiply
    101,098.95x = 151,642.95 × 30,978.46
  4. Step 4: Simplify right side
    101,098.95x = 4,697,665,060.86
  5. Step 5: Solve for x
    x = 4,697,665,060.86/101,098.95
  6. Step 6: Final answer
    x = 46,466.01

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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.