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Finding the Fourth Proportional to 255,992.61, 384,038.34 and 98,208.75

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Solution

The fourth proportional to 255,992.61, 384,038.34 and 98,208.75 is: 147,332.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,992.61 : 384,038.34 = 98,208.75 : x
  2. Step 2: Convert to fraction form
    255,992.61/384,038.34 = 98,208.75/x
  3. Step 3: Cross multiply
    255,992.61x = 384,038.34 × 98,208.75
  4. Step 4: Simplify right side
    255,992.61x = 37,715,925,323.48
  5. Step 5: Solve for x
    x = 37,715,925,323.48/255,992.61
  6. Step 6: Final answer
    x = 147,332.09

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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.