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Finding the Fourth Proportional to 130,796.64, 180,493.92 and 77,083.92

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Solution

The fourth proportional to 130,796.64, 180,493.92 and 77,083.92 is: 106,372.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,796.64 : 180,493.92 = 77,083.92 : x
  2. Step 2: Convert to fraction form
    130,796.64/180,493.92 = 77,083.92/x
  3. Step 3: Cross multiply
    130,796.64x = 180,493.92 × 77,083.92
  4. Step 4: Simplify right side
    130,796.64x = 13,913,178,889.77
  5. Step 5: Solve for x
    x = 13,913,178,889.77/130,796.64
  6. Step 6: Final answer
    x = 106,372.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.