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Finding the Fourth Proportional to 103,290.35, 154,935.53 and 98,916.35

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Solution

The fourth proportional to 103,290.35, 154,935.53 and 98,916.35 is: 148,374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,290.35 : 154,935.53 = 98,916.35 : x
  2. Step 2: Convert to fraction form
    103,290.35/154,935.53 = 98,916.35/x
  3. Step 3: Cross multiply
    103,290.35x = 154,935.53 × 98,916.35
  4. Step 4: Simplify right side
    103,290.35x = 15,325,656,618.33
  5. Step 5: Solve for x
    x = 15,325,656,618.33/103,290.35
  6. Step 6: Final answer
    x = 148,374.53

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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.