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Finding the Fourth Proportional to 97,425.86, 146,143.01 and 30,870.88

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Solution

The fourth proportional to 97,425.86, 146,143.01 and 30,870.88 is: 46,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,425.86 : 146,143.01 = 30,870.88 : x
  2. Step 2: Convert to fraction form
    97,425.86/146,143.01 = 30,870.88/x
  3. Step 3: Cross multiply
    97,425.86x = 146,143.01 × 30,870.88
  4. Step 4: Simplify right side
    97,425.86x = 4,511,563,036.37
  5. Step 5: Solve for x
    x = 4,511,563,036.37/97,425.86
  6. Step 6: Final answer
    x = 46,307.66

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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.