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Finding the Fourth Proportional to 98,971.47, 148,459.64 and 84,843.45

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Solution

The fourth proportional to 98,971.47, 148,459.64 and 84,843.45 is: 127,267.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,971.47 : 148,459.64 = 84,843.45 : x
  2. Step 2: Convert to fraction form
    98,971.47/148,459.64 = 84,843.45/x
  3. Step 3: Cross multiply
    98,971.47x = 148,459.64 × 84,843.45
  4. Step 4: Simplify right side
    98,971.47x = 12,595,827,619.14
  5. Step 5: Solve for x
    x = 12,595,827,619.14/98,971.47
  6. Step 6: Final answer
    x = 127,267.26

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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.