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Finding the Fourth Proportional to 130,466.50, 195,699.75 and 31,970.50

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Solution

The fourth proportional to 130,466.50, 195,699.75 and 31,970.50 is: 47,955.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,466.50 : 195,699.75 = 31,970.50 : x
  2. Step 2: Convert to fraction form
    130,466.50/195,699.75 = 31,970.50/x
  3. Step 3: Cross multiply
    130,466.50x = 195,699.75 × 31,970.50
  4. Step 4: Simplify right side
    130,466.50x = 6,256,618,857.38
  5. Step 5: Solve for x
    x = 6,256,618,857.38/130,466.50
  6. Step 6: Final answer
    x = 47,955.75

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1.5x scale

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.