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Finding the Fourth Proportional to 51,840.70, 77,746.47 and 14,391.70

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Solution

The fourth proportional to 51,840.70, 77,746.47 and 14,391.70 is: 21,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,840.70 : 77,746.47 = 14,391.70 : x
  2. Step 2: Convert to fraction form
    51,840.70/77,746.47 = 14,391.70/x
  3. Step 3: Cross multiply
    51,840.70x = 77,746.47 × 14,391.70
  4. Step 4: Simplify right side
    51,840.70x = 1,118,903,872.30
  5. Step 5: Solve for x
    x = 1,118,903,872.30/51,840.70
  6. Step 6: Final answer
    x = 21,583.50

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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.