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Finding the Fourth Proportional to 210,396.66, 315,636.15 and 77,277.92

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Solution

The fourth proportional to 210,396.66, 315,636.15 and 77,277.92 is: 115,932.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,396.66 : 315,636.15 = 77,277.92 : x
  2. Step 2: Convert to fraction form
    210,396.66/315,636.15 = 77,277.92/x
  3. Step 3: Cross multiply
    210,396.66x = 315,636.15 × 77,277.92
  4. Step 4: Simplify right side
    210,396.66x = 24,391,705,148.81
  5. Step 5: Solve for x
    x = 24,391,705,148.81/210,396.66
  6. Step 6: Final answer
    x = 115,932.00

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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.