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Finding the Fourth Proportional to 147,305.94, 203,283.59 and 83,645.07

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Solution

The fourth proportional to 147,305.94, 203,283.59 and 83,645.07 is: 115,430.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,305.94 : 203,283.59 = 83,645.07 : x
  2. Step 2: Convert to fraction form
    147,305.94/203,283.59 = 83,645.07/x
  3. Step 3: Cross multiply
    147,305.94x = 203,283.59 × 83,645.07
  4. Step 4: Simplify right side
    147,305.94x = 17,003,669,697.18
  5. Step 5: Solve for x
    x = 17,003,669,697.18/147,305.94
  6. Step 6: Final answer
    x = 115,430.98

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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.