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Finding the Fourth Proportional to 97,891, 135,078.12 and 57,595.90

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Solution

The fourth proportional to 97,891, 135,078.12 and 57,595.90 is: 79,475.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,891 : 135,078.12 = 57,595.90 : x
  2. Step 2: Convert to fraction form
    97,891/135,078.12 = 57,595.90/x
  3. Step 3: Cross multiply
    97,891x = 135,078.12 × 57,595.90
  4. Step 4: Simplify right side
    97,891x = 7,779,945,891.71
  5. Step 5: Solve for x
    x = 7,779,945,891.71/97,891
  6. Step 6: Final answer
    x = 79,475.60

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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.