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Finding the Fourth Proportional to 268,502.48, 402,822.08 and 78,969.60

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Solution

The fourth proportional to 268,502.48, 402,822.08 and 78,969.60 is: 118,474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,502.48 : 402,822.08 = 78,969.60 : x
  2. Step 2: Convert to fraction form
    268,502.48/402,822.08 = 78,969.60/x
  3. Step 3: Cross multiply
    268,502.48x = 402,822.08 × 78,969.60
  4. Step 4: Simplify right side
    268,502.48x = 31,810,698,528.77
  5. Step 5: Solve for x
    x = 31,810,698,528.77/268,502.48
  6. Step 6: Final answer
    x = 118,474.51

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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.