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Finding the Fourth Proportional to 268,258.80, 402,442.20 and 78,718.80

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Solution

The fourth proportional to 268,258.80, 402,442.20 and 78,718.80 is: 118,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,258.80 : 402,442.20 = 78,718.80 : x
  2. Step 2: Convert to fraction form
    268,258.80/402,442.20 = 78,718.80/x
  3. Step 3: Cross multiply
    268,258.80x = 402,442.20 × 78,718.80
  4. Step 4: Simplify right side
    268,258.80x = 31,679,767,053.36
  5. Step 5: Solve for x
    x = 31,679,767,053.36/268,258.80
  6. Step 6: Final answer
    x = 118,094.05

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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.