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Finding the Fourth Proportional to 119,020.95, 164,243.42 and 65,304.63

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Solution

The fourth proportional to 119,020.95, 164,243.42 and 65,304.63 is: 90,117.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,020.95 : 164,243.42 = 65,304.63 : x
  2. Step 2: Convert to fraction form
    119,020.95/164,243.42 = 65,304.63/x
  3. Step 3: Cross multiply
    119,020.95x = 164,243.42 × 65,304.63
  4. Step 4: Simplify right side
    119,020.95x = 10,725,855,446.51
  5. Step 5: Solve for x
    x = 10,725,855,446.51/119,020.95
  6. Step 6: Final answer
    x = 90,117.37

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