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Finding the Fourth Proportional to 77,152, 106,470.40 and 41,824

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Solution

The fourth proportional to 77,152, 106,470.40 and 41,824 is: 57,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,152 : 106,470.40 = 41,824 : x
  2. Step 2: Convert to fraction form
    77,152/106,470.40 = 41,824/x
  3. Step 3: Cross multiply
    77,152x = 106,470.40 × 41,824
  4. Step 4: Simplify right side
    77,152x = 4,453,018,009.60
  5. Step 5: Solve for x
    x = 4,453,018,009.60/77,152
  6. Step 6: Final answer
    x = 57,717.47

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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.