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Finding the Fourth Proportional to 205,313.96, 307,970.94 and 77,254.33

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Solution

The fourth proportional to 205,313.96, 307,970.94 and 77,254.33 is: 115,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,313.96 : 307,970.94 = 77,254.33 : x
  2. Step 2: Convert to fraction form
    205,313.96/307,970.94 = 77,254.33/x
  3. Step 3: Cross multiply
    205,313.96x = 307,970.94 × 77,254.33
  4. Step 4: Simplify right side
    205,313.96x = 23,792,088,629.17
  5. Step 5: Solve for x
    x = 23,792,088,629.17/205,313.96
  6. Step 6: Final answer
    x = 115,881.50

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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.