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Finding the Fourth Proportional to 130,187.71, 195,307.68 and 55,307.26

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Solution

The fourth proportional to 130,187.71, 195,307.68 and 55,307.26 is: 82,971.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,187.71 : 195,307.68 = 55,307.26 : x
  2. Step 2: Convert to fraction form
    130,187.71/195,307.68 = 55,307.26/x
  3. Step 3: Cross multiply
    130,187.71x = 195,307.68 × 55,307.26
  4. Step 4: Simplify right side
    130,187.71x = 10,801,932,637.76
  5. Step 5: Solve for x
    x = 10,801,932,637.76/130,187.71
  6. Step 6: Final answer
    x = 82,971.98

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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.