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Finding the Fourth Proportional to 128,929.12, 193,403 and 53,973.88

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Solution

The fourth proportional to 128,929.12, 193,403 and 53,973.88 is: 80,964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,929.12 : 193,403 = 53,973.88 : x
  2. Step 2: Convert to fraction form
    128,929.12/193,403 = 53,973.88/x
  3. Step 3: Cross multiply
    128,929.12x = 193,403 × 53,973.88
  4. Step 4: Simplify right side
    128,929.12x = 10,438,710,313.64
  5. Step 5: Solve for x
    x = 10,438,710,313.64/128,929.12
  6. Step 6: Final answer
    x = 80,964.72

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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.