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Finding the Fourth Proportional to 98,490, 135,916.38 and 53,778

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Solution

The fourth proportional to 98,490, 135,916.38 and 53,778 is: 74,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,490 : 135,916.38 = 53,778 : x
  2. Step 2: Convert to fraction form
    98,490/135,916.38 = 53,778/x
  3. Step 3: Cross multiply
    98,490x = 135,916.38 × 53,778
  4. Step 4: Simplify right side
    98,490x = 7,309,311,083.64
  5. Step 5: Solve for x
    x = 7,309,311,083.64/98,490
  6. Step 6: Final answer
    x = 74,213.74

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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.