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Finding the Fourth Proportional to 94,914, 130,983.48 and 61,438.32

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Solution

The fourth proportional to 94,914, 130,983.48 and 61,438.32 is: 84,786.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,914 : 130,983.48 = 61,438.32 : x
  2. Step 2: Convert to fraction form
    94,914/130,983.48 = 61,438.32/x
  3. Step 3: Cross multiply
    94,914x = 130,983.48 × 61,438.32
  4. Step 4: Simplify right side
    94,914x = 8,047,404,958.95
  5. Step 5: Solve for x
    x = 8,047,404,958.95/94,914
  6. Step 6: Final answer
    x = 84,786.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.