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Finding the Fourth Proportional to 98,477.48, 147,716.22 and 78,663.26

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Solution

The fourth proportional to 98,477.48, 147,716.22 and 78,663.26 is: 117,994.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,477.48 : 147,716.22 = 78,663.26 : x
  2. Step 2: Convert to fraction form
    98,477.48/147,716.22 = 78,663.26/x
  3. Step 3: Cross multiply
    98,477.48x = 147,716.22 × 78,663.26
  4. Step 4: Simplify right side
    98,477.48x = 11,619,839,420.08
  5. Step 5: Solve for x
    x = 11,619,839,420.08/98,477.48
  6. Step 6: Final answer
    x = 117,994.89

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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.