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Finding the Fourth Proportional to 141,643.20, 212,464.80 and 78,657.60

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Solution

The fourth proportional to 141,643.20, 212,464.80 and 78,657.60 is: 117,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,643.20 : 212,464.80 = 78,657.60 : x
  2. Step 2: Convert to fraction form
    141,643.20/212,464.80 = 78,657.60/x
  3. Step 3: Cross multiply
    141,643.20x = 212,464.80 × 78,657.60
  4. Step 4: Simplify right side
    141,643.20x = 16,711,971,252.48
  5. Step 5: Solve for x
    x = 16,711,971,252.48/141,643.20
  6. Step 6: Final answer
    x = 117,986.40

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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.