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Finding the Fourth Proportional to 208,953.89, 288,479.43 and 127,312.94

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Solution

The fourth proportional to 208,953.89, 288,479.43 and 127,312.94 is: 175,766.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,953.89 : 288,479.43 = 127,312.94 : x
  2. Step 2: Convert to fraction form
    208,953.89/288,479.43 = 127,312.94/x
  3. Step 3: Cross multiply
    208,953.89x = 288,479.43 × 127,312.94
  4. Step 4: Simplify right side
    208,953.89x = 36,727,164,362.82
  5. Step 5: Solve for x
    x = 36,727,164,362.82/208,953.89
  6. Step 6: Final answer
    x = 175,766.84

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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.