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Finding the Fourth Proportional to 77,128.96, 106,420.80 and 46,930

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Solution

The fourth proportional to 77,128.96, 106,420.80 and 46,930 is: 64,752.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,128.96 : 106,420.80 = 46,930 : x
  2. Step 2: Convert to fraction form
    77,128.96/106,420.80 = 46,930/x
  3. Step 3: Cross multiply
    77,128.96x = 106,420.80 × 46,930
  4. Step 4: Simplify right side
    77,128.96x = 4,994,328,144
  5. Step 5: Solve for x
    x = 4,994,328,144/77,128.96
  6. Step 6: Final answer
    x = 64,752.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.