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Finding the Fourth Proportional to 210,847.33, 316,068 and 77,654.95

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Solution

The fourth proportional to 210,847.33, 316,068 and 77,654.95 is: 116,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,847.33 : 316,068 = 77,654.95 : x
  2. Step 2: Convert to fraction form
    210,847.33/316,068 = 77,654.95/x
  3. Step 3: Cross multiply
    210,847.33x = 316,068 × 77,654.95
  4. Step 4: Simplify right side
    210,847.33x = 24,544,244,736.60
  5. Step 5: Solve for x
    x = 24,544,244,736.60/210,847.33
  6. Step 6: Final answer
    x = 116,407.66

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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.