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Finding the Fourth Proportional to 210,347.20, 315,423.60 and 91,957.60

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Solution

The fourth proportional to 210,347.20, 315,423.60 and 91,957.60 is: 137,893.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,347.20 : 315,423.60 = 91,957.60 : x
  2. Step 2: Convert to fraction form
    210,347.20/315,423.60 = 91,957.60/x
  3. Step 3: Cross multiply
    210,347.20x = 315,423.60 × 91,957.60
  4. Step 4: Simplify right side
    210,347.20x = 29,005,597,239.36
  5. Step 5: Solve for x
    x = 29,005,597,239.36/210,347.20
  6. Step 6: Final answer
    x = 137,893.91

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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.