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Finding the Fourth Proportional to 85,069.81, 117,395.16 and 47,344.06

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Solution

The fourth proportional to 85,069.81, 117,395.16 and 47,344.06 is: 65,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,069.81 : 117,395.16 = 47,344.06 : x
  2. Step 2: Convert to fraction form
    85,069.81/117,395.16 = 47,344.06/x
  3. Step 3: Cross multiply
    85,069.81x = 117,395.16 × 47,344.06
  4. Step 4: Simplify right side
    85,069.81x = 5,557,963,498.75
  5. Step 5: Solve for x
    x = 5,557,963,498.75/85,069.81
  6. Step 6: Final answer
    x = 65,334.15

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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.