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Finding the Fourth Proportional to 102,085.95, 153,076.19 and 45,878.03

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Solution

The fourth proportional to 102,085.95, 153,076.19 and 45,878.03 is: 68,793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,085.95 : 153,076.19 = 45,878.03 : x
  2. Step 2: Convert to fraction form
    102,085.95/153,076.19 = 45,878.03/x
  3. Step 3: Cross multiply
    102,085.95x = 153,076.19 × 45,878.03
  4. Step 4: Simplify right side
    102,085.95x = 7,022,833,271.72
  5. Step 5: Solve for x
    x = 7,022,833,271.72/102,085.95
  6. Step 6: Final answer
    x = 68,793.34

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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.