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Finding the Fourth Proportional to 97,858.38, 135,047.74 and 55,416

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Solution

The fourth proportional to 97,858.38, 135,047.74 and 55,416 is: 76,475.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,858.38 : 135,047.74 = 55,416 : x
  2. Step 2: Convert to fraction form
    97,858.38/135,047.74 = 55,416/x
  3. Step 3: Cross multiply
    97,858.38x = 135,047.74 × 55,416
  4. Step 4: Simplify right side
    97,858.38x = 7,483,805,559.84
  5. Step 5: Solve for x
    x = 7,483,805,559.84/97,858.38
  6. Step 6: Final answer
    x = 76,475.88

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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.