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Finding the Fourth Proportional to 98,412.80, 147,633.60 and 51,669.20

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Solution

The fourth proportional to 98,412.80, 147,633.60 and 51,669.20 is: 77,511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,412.80 : 147,633.60 = 51,669.20 : x
  2. Step 2: Convert to fraction form
    98,412.80/147,633.60 = 51,669.20/x
  3. Step 3: Cross multiply
    98,412.80x = 147,633.60 × 51,669.20
  4. Step 4: Simplify right side
    98,412.80x = 7,628,110,005.12
  5. Step 5: Solve for x
    x = 7,628,110,005.12/98,412.80
  6. Step 6: Final answer
    x = 77,511.36

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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.