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Finding the Fourth Proportional to 102,770, 154,155.06 and 28,898

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Solution

The fourth proportional to 102,770, 154,155.06 and 28,898 is: 43,347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,770 : 154,155.06 = 28,898 : x
  2. Step 2: Convert to fraction form
    102,770/154,155.06 = 28,898/x
  3. Step 3: Cross multiply
    102,770x = 154,155.06 × 28,898
  4. Step 4: Simplify right side
    102,770x = 4,454,772,923.88
  5. Step 5: Solve for x
    x = 4,454,772,923.88/102,770
  6. Step 6: Final answer
    x = 43,347.02

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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.