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Finding the Fourth Proportional to 52,144.84, 78,215.73 and 12,701.38

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Solution

The fourth proportional to 52,144.84, 78,215.73 and 12,701.38 is: 19,051.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,144.84 : 78,215.73 = 12,701.38 : x
  2. Step 2: Convert to fraction form
    52,144.84/78,215.73 = 12,701.38/x
  3. Step 3: Cross multiply
    52,144.84x = 78,215.73 × 12,701.38
  4. Step 4: Simplify right side
    52,144.84x = 993,447,708.71
  5. Step 5: Solve for x
    x = 993,447,708.71/52,144.84
  6. Step 6: Final answer
    x = 19,051.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.