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Finding the Fourth Proportional to 102,102.88, 153,154.32 and 46,660

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Solution

The fourth proportional to 102,102.88, 153,154.32 and 46,660 is: 69,990

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,102.88 : 153,154.32 = 46,660 : x
  2. Step 2: Convert to fraction form
    102,102.88/153,154.32 = 46,660/x
  3. Step 3: Cross multiply
    102,102.88x = 153,154.32 × 46,660
  4. Step 4: Simplify right side
    102,102.88x = 7,146,180,571.20
  5. Step 5: Solve for x
    x = 7,146,180,571.20/102,102.88
  6. Step 6: Final answer
    x = 69,990

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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.