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Finding the Fourth Proportional to 138,995.46, 208,510.88 and 37,795.64

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Solution

The fourth proportional to 138,995.46, 208,510.88 and 37,795.64 is: 56,698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,995.46 : 208,510.88 = 37,795.64 : x
  2. Step 2: Convert to fraction form
    138,995.46/208,510.88 = 37,795.64/x
  3. Step 3: Cross multiply
    138,995.46x = 208,510.88 × 37,795.64
  4. Step 4: Simplify right side
    138,995.46x = 7,880,800,925.03
  5. Step 5: Solve for x
    x = 7,880,800,925.03/138,995.46
  6. Step 6: Final answer
    x = 56,698.26

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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.