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Finding the Fourth Proportional to 119,893.90, 165,457.59 and 65,449.30

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Solution

The fourth proportional to 119,893.90, 165,457.59 and 65,449.30 is: 90,322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,893.90 : 165,457.59 = 65,449.30 : x
  2. Step 2: Convert to fraction form
    119,893.90/165,457.59 = 65,449.30/x
  3. Step 3: Cross multiply
    119,893.90x = 165,457.59 × 65,449.30
  4. Step 4: Simplify right side
    119,893.90x = 10,829,083,445.19
  5. Step 5: Solve for x
    x = 10,829,083,445.19/119,893.90
  6. Step 6: Final answer
    x = 90,322.22

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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.