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Finding the Fourth Proportional to 152,053.76, 228,287.49 and 85,540.70

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Solution

The fourth proportional to 152,053.76, 228,287.49 and 85,540.70 is: 128,427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,053.76 : 228,287.49 = 85,540.70 : x
  2. Step 2: Convert to fraction form
    152,053.76/228,287.49 = 85,540.70/x
  3. Step 3: Cross multiply
    152,053.76x = 228,287.49 × 85,540.70
  4. Step 4: Simplify right side
    152,053.76x = 19,527,871,268.14
  5. Step 5: Solve for x
    x = 19,527,871,268.14/152,053.76
  6. Step 6: Final answer
    x = 128,427.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.