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Finding the Fourth Proportional to 152,170.93, 209,995.72 and 85,102.93

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Solution

The fourth proportional to 152,170.93, 209,995.72 and 85,102.93 is: 117,441.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,170.93 : 209,995.72 = 85,102.93 : x
  2. Step 2: Convert to fraction form
    152,170.93/209,995.72 = 85,102.93/x
  3. Step 3: Cross multiply
    152,170.93x = 209,995.72 × 85,102.93
  4. Step 4: Simplify right side
    152,170.93x = 17,871,251,059.46
  5. Step 5: Solve for x
    x = 17,871,251,059.46/152,170.93
  6. Step 6: Final answer
    x = 117,441.95

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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.