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Finding the Fourth Proportional to 210,395.84, 315,405.93 and 77,245.16

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Solution

The fourth proportional to 210,395.84, 315,405.93 and 77,245.16 is: 115,798.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,395.84 : 315,405.93 = 77,245.16 : x
  2. Step 2: Convert to fraction form
    210,395.84/315,405.93 = 77,245.16/x
  3. Step 3: Cross multiply
    210,395.84x = 315,405.93 × 77,245.16
  4. Step 4: Simplify right side
    210,395.84x = 24,363,581,527.80
  5. Step 5: Solve for x
    x = 24,363,581,527.80/210,395.84
  6. Step 6: Final answer
    x = 115,798.78

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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.