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Finding the Fourth Proportional to 210,850.32, 316,400.24 and 77,823.24

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Solution

The fourth proportional to 210,850.32, 316,400.24 and 77,823.24 is: 116,780.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,850.32 : 316,400.24 = 77,823.24 : x
  2. Step 2: Convert to fraction form
    210,850.32/316,400.24 = 77,823.24/x
  3. Step 3: Cross multiply
    210,850.32x = 316,400.24 × 77,823.24
  4. Step 4: Simplify right side
    210,850.32x = 24,623,291,813.58
  5. Step 5: Solve for x
    x = 24,623,291,813.58/210,850.32
  6. Step 6: Final answer
    x = 116,780.91

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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.