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Finding the Fourth Proportional to 51,518.76, 77,265.63 and 14,079

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Solution

The fourth proportional to 51,518.76, 77,265.63 and 14,079 is: 21,115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,518.76 : 77,265.63 = 14,079 : x
  2. Step 2: Convert to fraction form
    51,518.76/77,265.63 = 14,079/x
  3. Step 3: Cross multiply
    51,518.76x = 77,265.63 × 14,079
  4. Step 4: Simplify right side
    51,518.76x = 1,087,822,804.77
  5. Step 5: Solve for x
    x = 1,087,822,804.77/51,518.76
  6. Step 6: Final answer
    x = 21,115.08

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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.