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Finding the Fourth Proportional to 51,477.95, 77,186.40 and 15,928.74

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Solution

The fourth proportional to 51,477.95, 77,186.40 and 15,928.74 is: 23,883.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,477.95 : 77,186.40 = 15,928.74 : x
  2. Step 2: Convert to fraction form
    51,477.95/77,186.40 = 15,928.74/x
  3. Step 3: Cross multiply
    51,477.95x = 77,186.40 × 15,928.74
  4. Step 4: Simplify right side
    51,477.95x = 1,229,482,127.00
  5. Step 5: Solve for x
    x = 1,229,482,127.00/51,477.95
  6. Step 6: Final answer
    x = 23,883.67

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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.