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Finding the Fourth Proportional to 102,769, 154,153.52 and 28,897

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Solution

The fourth proportional to 102,769, 154,153.52 and 28,897 is: 43,345.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,769 : 154,153.52 = 28,897 : x
  2. Step 2: Convert to fraction form
    102,769/154,153.52 = 28,897/x
  3. Step 3: Cross multiply
    102,769x = 154,153.52 × 28,897
  4. Step 4: Simplify right side
    102,769x = 4,454,574,267.44
  5. Step 5: Solve for x
    x = 4,454,574,267.44/102,769
  6. Step 6: Final answer
    x = 43,345.51

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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.