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Finding the Fourth Proportional to 78,215.82, 108,026.93 and 53,021.58

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Solution

The fourth proportional to 78,215.82, 108,026.93 and 53,021.58 is: 73,230.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,215.82 : 108,026.93 = 53,021.58 : x
  2. Step 2: Convert to fraction form
    78,215.82/108,026.93 = 53,021.58/x
  3. Step 3: Cross multiply
    78,215.82x = 108,026.93 × 53,021.58
  4. Step 4: Simplify right side
    78,215.82x = 5,727,758,246.04
  5. Step 5: Solve for x
    x = 5,727,758,246.04/78,215.82
  6. Step 6: Final answer
    x = 73,230.18

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1.5x scale

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.