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Finding the Fourth Proportional to 148,478.48, 204,625.60 and 105,459.92

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Solution

The fourth proportional to 148,478.48, 204,625.60 and 105,459.92 is: 145,339.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,478.48 : 204,625.60 = 105,459.92 : x
  2. Step 2: Convert to fraction form
    148,478.48/204,625.60 = 105,459.92/x
  3. Step 3: Cross multiply
    148,478.48x = 204,625.60 × 105,459.92
  4. Step 4: Simplify right side
    148,478.48x = 21,579,799,405.95
  5. Step 5: Solve for x
    x = 21,579,799,405.95/148,478.48
  6. Step 6: Final answer
    x = 145,339.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.