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Finding the Fourth Proportional to 97,978.40, 137,480.80 and 97,978.40

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Solution

The fourth proportional to 97,978.40, 137,480.80 and 97,978.40 is: 137,480.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,978.40 : 137,480.80 = 97,978.40 : x
  2. Step 2: Convert to fraction form
    97,978.40/137,480.80 = 97,978.40/x
  3. Step 3: Cross multiply
    97,978.40x = 137,480.80 × 97,978.40
  4. Step 4: Simplify right side
    97,978.40x = 13,470,148,814.72
  5. Step 5: Solve for x
    x = 13,470,148,814.72/97,978.40
  6. Step 6: Final answer
    x = 137,480.80

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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.