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Finding the Fourth Proportional to 130,788.88, 196,133.52 and 77,495.90

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Solution

The fourth proportional to 130,788.88, 196,133.52 and 77,495.90 is: 116,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,788.88 : 196,133.52 = 77,495.90 : x
  2. Step 2: Convert to fraction form
    130,788.88/196,133.52 = 77,495.90/x
  3. Step 3: Cross multiply
    130,788.88x = 196,133.52 × 77,495.90
  4. Step 4: Simplify right side
    130,788.88x = 15,199,543,652.57
  5. Step 5: Solve for x
    x = 15,199,543,652.57/130,788.88
  6. Step 6: Final answer
    x = 116,214.34

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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.