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Finding the Fourth Proportional to 97,709.80, 137,070.20 and 97,709.80

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Solution

The fourth proportional to 97,709.80, 137,070.20 and 97,709.80 is: 137,070.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,709.80 : 137,070.20 = 97,709.80 : x
  2. Step 2: Convert to fraction form
    97,709.80/137,070.20 = 97,709.80/x
  3. Step 3: Cross multiply
    97,709.80x = 137,070.20 × 97,709.80
  4. Step 4: Simplify right side
    97,709.80x = 13,393,101,827.96
  5. Step 5: Solve for x
    x = 13,393,101,827.96/97,709.80
  6. Step 6: Final answer
    x = 137,070.20

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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.