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Finding the Fourth Proportional to 104,916.78, 157,421.68 and 54,985

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Solution

The fourth proportional to 104,916.78, 157,421.68 and 54,985 is: 82,501.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,916.78 : 157,421.68 = 54,985 : x
  2. Step 2: Convert to fraction form
    104,916.78/157,421.68 = 54,985/x
  3. Step 3: Cross multiply
    104,916.78x = 157,421.68 × 54,985
  4. Step 4: Simplify right side
    104,916.78x = 8,655,831,074.80
  5. Step 5: Solve for x
    x = 8,655,831,074.80/104,916.78
  6. Step 6: Final answer
    x = 82,501.88

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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.