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Finding the Fourth Proportional to 97,089.40, 145,654.88 and 54,989.40

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Solution

The fourth proportional to 97,089.40, 145,654.88 and 54,989.40 is: 82,495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,089.40 : 145,654.88 = 54,989.40 : x
  2. Step 2: Convert to fraction form
    97,089.40/145,654.88 = 54,989.40/x
  3. Step 3: Cross multiply
    97,089.40x = 145,654.88 × 54,989.40
  4. Step 4: Simplify right side
    97,089.40x = 8,009,474,458.27
  5. Step 5: Solve for x
    x = 8,009,474,458.27/97,089.40
  6. Step 6: Final answer
    x = 82,495.87

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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.