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Finding the Fourth Proportional to 119,073.44, 164,457.72 and 78,419.30

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Solution

The fourth proportional to 119,073.44, 164,457.72 and 78,419.30 is: 108,308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,073.44 : 164,457.72 = 78,419.30 : x
  2. Step 2: Convert to fraction form
    119,073.44/164,457.72 = 78,419.30/x
  3. Step 3: Cross multiply
    119,073.44x = 164,457.72 × 78,419.30
  4. Step 4: Simplify right side
    119,073.44x = 12,896,658,263.66
  5. Step 5: Solve for x
    x = 12,896,658,263.66/119,073.44
  6. Step 6: Final answer
    x = 108,308.44

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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.