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Finding the Fourth Proportional to 97,884, 135,068.46 and 57,588.90

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Solution

The fourth proportional to 97,884, 135,068.46 and 57,588.90 is: 79,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,884 : 135,068.46 = 57,588.90 : x
  2. Step 2: Convert to fraction form
    97,884/135,068.46 = 57,588.90/x
  3. Step 3: Cross multiply
    97,884x = 135,068.46 × 57,588.90
  4. Step 4: Simplify right side
    97,884x = 7,778,444,036.09
  5. Step 5: Solve for x
    x = 7,778,444,036.09/97,884
  6. Step 6: Final answer
    x = 79,465.94

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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.