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Finding the Fourth Proportional to 51,858, 77,812.40 and 18,580.63

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Solution

The fourth proportional to 51,858, 77,812.40 and 18,580.63 is: 27,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,858 : 77,812.40 = 18,580.63 : x
  2. Step 2: Convert to fraction form
    51,858/77,812.40 = 18,580.63/x
  3. Step 3: Cross multiply
    51,858x = 77,812.40 × 18,580.63
  4. Step 4: Simplify right side
    51,858x = 1,445,803,413.81
  5. Step 5: Solve for x
    x = 1,445,803,413.81/51,858
  6. Step 6: Final answer
    x = 27,880.05

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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.