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Finding the Fourth Proportional to 210,543.84, 315,940.80 and 77,517.54

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Solution

The fourth proportional to 210,543.84, 315,940.80 and 77,517.54 is: 116,322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,543.84 : 315,940.80 = 77,517.54 : x
  2. Step 2: Convert to fraction form
    210,543.84/315,940.80 = 77,517.54/x
  3. Step 3: Cross multiply
    210,543.84x = 315,940.80 × 77,517.54
  4. Step 4: Simplify right side
    210,543.84x = 24,490,953,601.63
  5. Step 5: Solve for x
    x = 24,490,953,601.63/210,543.84
  6. Step 6: Final answer
    x = 116,322.35

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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.