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Finding the Fourth Proportional to 86,994, 120,051.76 and 47,250

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Solution

The fourth proportional to 86,994, 120,051.76 and 47,250 is: 65,205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,994 : 120,051.76 = 47,250 : x
  2. Step 2: Convert to fraction form
    86,994/120,051.76 = 47,250/x
  3. Step 3: Cross multiply
    86,994x = 120,051.76 × 47,250
  4. Step 4: Simplify right side
    86,994x = 5,672,445,660
  5. Step 5: Solve for x
    x = 5,672,445,660/86,994
  6. Step 6: Final answer
    x = 65,205.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.