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Finding the Fourth Proportional to 97,720.30, 137,084.90 and 97,720.30

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Solution

The fourth proportional to 97,720.30, 137,084.90 and 97,720.30 is: 137,084.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,720.30 : 137,084.90 = 97,720.30 : x
  2. Step 2: Convert to fraction form
    97,720.30/137,084.90 = 97,720.30/x
  3. Step 3: Cross multiply
    97,720.30x = 137,084.90 × 97,720.30
  4. Step 4: Simplify right side
    97,720.30x = 13,395,977,553.47
  5. Step 5: Solve for x
    x = 13,395,977,553.47/97,720.30
  6. Step 6: Final answer
    x = 137,084.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.