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Finding the Fourth Proportional to 130,807, 196,212.35 and 37,312.75

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Solution

The fourth proportional to 130,807, 196,212.35 and 37,312.75 is: 55,969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,807 : 196,212.35 = 37,312.75 : x
  2. Step 2: Convert to fraction form
    130,807/196,212.35 = 37,312.75/x
  3. Step 3: Cross multiply
    130,807x = 196,212.35 × 37,312.75
  4. Step 4: Simplify right side
    130,807x = 7,321,222,362.46
  5. Step 5: Solve for x
    x = 7,321,222,362.46/130,807
  6. Step 6: Final answer
    x = 55,969.65

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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.