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Finding the Fourth Proportional to 102,768, 154,152.06 and 28,896

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Solution

The fourth proportional to 102,768, 154,152.06 and 28,896 is: 43,344.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,768 : 154,152.06 = 28,896 : x
  2. Step 2: Convert to fraction form
    102,768/154,152.06 = 28,896/x
  3. Step 3: Cross multiply
    102,768x = 154,152.06 × 28,896
  4. Step 4: Simplify right side
    102,768x = 4,454,377,925.76
  5. Step 5: Solve for x
    x = 4,454,377,925.76/102,768
  6. Step 6: Final answer
    x = 43,344.02

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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.