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Finding the Fourth Proportional to 117,205.32, 161,733.72 and 66,222.48

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Solution

The fourth proportional to 117,205.32, 161,733.72 and 66,222.48 is: 91,381.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,205.32 : 161,733.72 = 66,222.48 : x
  2. Step 2: Convert to fraction form
    117,205.32/161,733.72 = 66,222.48/x
  3. Step 3: Cross multiply
    117,205.32x = 161,733.72 × 66,222.48
  4. Step 4: Simplify right side
    117,205.32x = 10,710,408,038.03
  5. Step 5: Solve for x
    x = 10,710,408,038.03/117,205.32
  6. Step 6: Final answer
    x = 91,381.59

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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.