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Finding the Fourth Proportional to 105,151.44, 157,749.84 and 30,271.08

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Solution

The fourth proportional to 105,151.44, 157,749.84 and 30,271.08 is: 45,413.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,151.44 : 157,749.84 = 30,271.08 : x
  2. Step 2: Convert to fraction form
    105,151.44/157,749.84 = 30,271.08/x
  3. Step 3: Cross multiply
    105,151.44x = 157,749.84 × 30,271.08
  4. Step 4: Simplify right side
    105,151.44x = 4,775,258,026.63
  5. Step 5: Solve for x
    x = 4,775,258,026.63/105,151.44
  6. Step 6: Final answer
    x = 45,413.15

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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.