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Finding the Fourth Proportional to 86,776.22, 130,015.74 and 47,361

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Solution

The fourth proportional to 86,776.22, 130,015.74 and 47,361 is: 70,960.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,776.22 : 130,015.74 = 47,361 : x
  2. Step 2: Convert to fraction form
    86,776.22/130,015.74 = 47,361/x
  3. Step 3: Cross multiply
    86,776.22x = 130,015.74 × 47,361
  4. Step 4: Simplify right side
    86,776.22x = 6,157,675,462.14
  5. Step 5: Solve for x
    x = 6,157,675,462.14/86,776.22
  6. Step 6: Final answer
    x = 70,960.40

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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.