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Finding the Fourth Proportional to 191,978.40, 287,967.60 and 109,034.40

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Solution

The fourth proportional to 191,978.40, 287,967.60 and 109,034.40 is: 163,551.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,978.40 : 287,967.60 = 109,034.40 : x
  2. Step 2: Convert to fraction form
    191,978.40/287,967.60 = 109,034.40/x
  3. Step 3: Cross multiply
    191,978.40x = 287,967.60 × 109,034.40
  4. Step 4: Simplify right side
    191,978.40x = 31,398,374,485.44
  5. Step 5: Solve for x
    x = 31,398,374,485.44/191,978.40
  6. Step 6: Final answer
    x = 163,551.60

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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.