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Finding the Fourth Proportional to 85,478.96, 128,205.48 and 30,062

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Solution

The fourth proportional to 85,478.96, 128,205.48 and 30,062 is: 45,088.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,478.96 : 128,205.48 = 30,062 : x
  2. Step 2: Convert to fraction form
    85,478.96/128,205.48 = 30,062/x
  3. Step 3: Cross multiply
    85,478.96x = 128,205.48 × 30,062
  4. Step 4: Simplify right side
    85,478.96x = 3,854,113,139.76
  5. Step 5: Solve for x
    x = 3,854,113,139.76/85,478.96
  6. Step 6: Final answer
    x = 45,088.44

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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.