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Finding the Fourth Proportional to 78,870.40, 118,276.80 and 26,281.60

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Solution

The fourth proportional to 78,870.40, 118,276.80 and 26,281.60 is: 39,412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,870.40 : 118,276.80 = 26,281.60 : x
  2. Step 2: Convert to fraction form
    78,870.40/118,276.80 = 26,281.60/x
  3. Step 3: Cross multiply
    78,870.40x = 118,276.80 × 26,281.60
  4. Step 4: Simplify right side
    78,870.40x = 3,108,503,546.88
  5. Step 5: Solve for x
    x = 3,108,503,546.88/78,870.40
  6. Step 6: Final answer
    x = 39,412.80

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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.