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Finding the Fourth Proportional to 51,111, 70,522.56 and 29,886.16

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Solution

The fourth proportional to 51,111, 70,522.56 and 29,886.16 is: 41,236.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,111 : 70,522.56 = 29,886.16 : x
  2. Step 2: Convert to fraction form
    51,111/70,522.56 = 29,886.16/x
  3. Step 3: Cross multiply
    51,111x = 70,522.56 × 29,886.16
  4. Step 4: Simplify right side
    51,111x = 2,107,648,511.77
  5. Step 5: Solve for x
    x = 2,107,648,511.77/51,111
  6. Step 6: Final answer
    x = 41,236.69

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