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Finding the Fourth Proportional to 98,697, 136,202.94 and 53,985

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Solution

The fourth proportional to 98,697, 136,202.94 and 53,985 is: 74,499.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,697 : 136,202.94 = 53,985 : x
  2. Step 2: Convert to fraction form
    98,697/136,202.94 = 53,985/x
  3. Step 3: Cross multiply
    98,697x = 136,202.94 × 53,985
  4. Step 4: Simplify right side
    98,697x = 7,352,915,715.90
  5. Step 5: Solve for x
    x = 7,352,915,715.90/98,697
  6. Step 6: Final answer
    x = 74,499.89

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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.