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Finding the Fourth Proportional to 78,004.71, 116,910 and 37,990.98

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Solution

The fourth proportional to 78,004.71, 116,910 and 37,990.98 is: 56,939.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,004.71 : 116,910 = 37,990.98 : x
  2. Step 2: Convert to fraction form
    78,004.71/116,910 = 37,990.98/x
  3. Step 3: Cross multiply
    78,004.71x = 116,910 × 37,990.98
  4. Step 4: Simplify right side
    78,004.71x = 4,441,525,471.80
  5. Step 5: Solve for x
    x = 4,441,525,471.80/78,004.71
  6. Step 6: Final answer
    x = 56,939.20

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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.