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Finding the Fourth Proportional to 97,780.98, 146,647.98 and 45,139.89

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Solution

The fourth proportional to 97,780.98, 146,647.98 and 45,139.89 is: 67,698.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,780.98 : 146,647.98 = 45,139.89 : x
  2. Step 2: Convert to fraction form
    97,780.98/146,647.98 = 45,139.89/x
  3. Step 3: Cross multiply
    97,780.98x = 146,647.98 × 45,139.89
  4. Step 4: Simplify right side
    97,780.98x = 6,619,673,685.92
  5. Step 5: Solve for x
    x = 6,619,673,685.92/97,780.98
  6. Step 6: Final answer
    x = 67,698.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.