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Finding the Fourth Proportional to 295,162.58, 442,775.52 and 81,931.40

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Solution

The fourth proportional to 295,162.58, 442,775.52 and 81,931.40 is: 122,905.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,162.58 : 442,775.52 = 81,931.40 : x
  2. Step 2: Convert to fraction form
    295,162.58/442,775.52 = 81,931.40/x
  3. Step 3: Cross multiply
    295,162.58x = 442,775.52 × 81,931.40
  4. Step 4: Simplify right side
    295,162.58x = 36,277,218,239.33
  5. Step 5: Solve for x
    x = 36,277,218,239.33/295,162.58
  6. Step 6: Final answer
    x = 122,905.89

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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.