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Finding the Fourth Proportional to 52,117.75, 78,175.53 and 12,675.07

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Solution

The fourth proportional to 52,117.75, 78,175.53 and 12,675.07 is: 19,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,117.75 : 78,175.53 = 12,675.07 : x
  2. Step 2: Convert to fraction form
    52,117.75/78,175.53 = 12,675.07/x
  3. Step 3: Cross multiply
    52,117.75x = 78,175.53 × 12,675.07
  4. Step 4: Simplify right side
    52,117.75x = 990,880,315.04
  5. Step 5: Solve for x
    x = 990,880,315.04/52,117.75
  6. Step 6: Final answer
    x = 19,012.34

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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.