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Finding the Fourth Proportional to 102,967.60, 142,084.88 and 57,642.64

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Solution

The fourth proportional to 102,967.60, 142,084.88 and 57,642.64 is: 79,541.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,967.60 : 142,084.88 = 57,642.64 : x
  2. Step 2: Convert to fraction form
    102,967.60/142,084.88 = 57,642.64/x
  3. Step 3: Cross multiply
    102,967.60x = 142,084.88 × 57,642.64
  4. Step 4: Simplify right side
    102,967.60x = 8,190,147,587.28
  5. Step 5: Solve for x
    x = 8,190,147,587.28/102,967.60
  6. Step 6: Final answer
    x = 79,541.02

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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.