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Finding the Fourth Proportional to 151,389.78, 208,916.93 and 83,405.19

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Solution

The fourth proportional to 151,389.78, 208,916.93 and 83,405.19 is: 115,098.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,389.78 : 208,916.93 = 83,405.19 : x
  2. Step 2: Convert to fraction form
    151,389.78/208,916.93 = 83,405.19/x
  3. Step 3: Cross multiply
    151,389.78x = 208,916.93 × 83,405.19
  4. Step 4: Simplify right side
    151,389.78x = 17,424,755,040.40
  5. Step 5: Solve for x
    x = 17,424,755,040.40/151,389.78
  6. Step 6: Final answer
    x = 115,098.62

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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.