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Finding the Fourth Proportional to 113,939.16, 157,209.24 and 66,164.16

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Solution

The fourth proportional to 113,939.16, 157,209.24 and 66,164.16 is: 91,290.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,939.16 : 157,209.24 = 66,164.16 : x
  2. Step 2: Convert to fraction form
    113,939.16/157,209.24 = 66,164.16/x
  3. Step 3: Cross multiply
    113,939.16x = 157,209.24 × 66,164.16
  4. Step 4: Simplify right side
    113,939.16x = 10,401,617,308.84
  5. Step 5: Solve for x
    x = 10,401,617,308.84/113,939.16
  6. Step 6: Final answer
    x = 91,290.98

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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.