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Finding the Fourth Proportional to 130,172.60, 194,805.30 and 77,619.80

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Solution

The fourth proportional to 130,172.60, 194,805.30 and 77,619.80 is: 116,159.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,172.60 : 194,805.30 = 77,619.80 : x
  2. Step 2: Convert to fraction form
    130,172.60/194,805.30 = 77,619.80/x
  3. Step 3: Cross multiply
    130,172.60x = 194,805.30 × 77,619.80
  4. Step 4: Simplify right side
    130,172.60x = 15,120,748,424.94
  5. Step 5: Solve for x
    x = 15,120,748,424.94/130,172.60
  6. Step 6: Final answer
    x = 116,159.23

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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.