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Finding the Fourth Proportional to 97,953.20, 146,978.40 and 55,865.60

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Solution

The fourth proportional to 97,953.20, 146,978.40 and 55,865.60 is: 83,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,953.20 : 146,978.40 = 55,865.60 : x
  2. Step 2: Convert to fraction form
    97,953.20/146,978.40 = 55,865.60/x
  3. Step 3: Cross multiply
    97,953.20x = 146,978.40 × 55,865.60
  4. Step 4: Simplify right side
    97,953.20x = 8,211,036,503.04
  5. Step 5: Solve for x
    x = 8,211,036,503.04/97,953.20
  6. Step 6: Final answer
    x = 83,826.12

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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.