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Finding the Fourth Proportional to 98,826.40, 148,239.60 and 54,430.30

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Solution

The fourth proportional to 98,826.40, 148,239.60 and 54,430.30 is: 81,645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,826.40 : 148,239.60 = 54,430.30 : x
  2. Step 2: Convert to fraction form
    98,826.40/148,239.60 = 54,430.30/x
  3. Step 3: Cross multiply
    98,826.40x = 148,239.60 × 54,430.30
  4. Step 4: Simplify right side
    98,826.40x = 8,068,725,899.88
  5. Step 5: Solve for x
    x = 8,068,725,899.88/98,826.40
  6. Step 6: Final answer
    x = 81,645.45

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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.