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Finding the Fourth Proportional to 98,971.62, 148,464.45 and 39,807.60

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Solution

The fourth proportional to 98,971.62, 148,464.45 and 39,807.60 is: 59,714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,971.62 : 148,464.45 = 39,807.60 : x
  2. Step 2: Convert to fraction form
    98,971.62/148,464.45 = 39,807.60/x
  3. Step 3: Cross multiply
    98,971.62x = 148,464.45 × 39,807.60
  4. Step 4: Simplify right side
    98,971.62x = 5,910,013,439.82
  5. Step 5: Solve for x
    x = 5,910,013,439.82/98,971.62
  6. Step 6: Final answer
    x = 59,714.22

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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.