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Finding the Fourth Proportional to 135,410.96, 186,887.76 and 84,432

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Solution

The fourth proportional to 135,410.96, 186,887.76 and 84,432 is: 116,529.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,410.96 : 186,887.76 = 84,432 : x
  2. Step 2: Convert to fraction form
    135,410.96/186,887.76 = 84,432/x
  3. Step 3: Cross multiply
    135,410.96x = 186,887.76 × 84,432
  4. Step 4: Simplify right side
    135,410.96x = 15,779,307,352.32
  5. Step 5: Solve for x
    x = 15,779,307,352.32/135,410.96
  6. Step 6: Final answer
    x = 116,529.03

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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.