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Finding the Fourth Proportional to 191,137.64, 286,741.02 and 78,755.34

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Solution

The fourth proportional to 191,137.64, 286,741.02 and 78,755.34 is: 118,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,137.64 : 286,741.02 = 78,755.34 : x
  2. Step 2: Convert to fraction form
    191,137.64/286,741.02 = 78,755.34/x
  3. Step 3: Cross multiply
    191,137.64x = 286,741.02 × 78,755.34
  4. Step 4: Simplify right side
    191,137.64x = 22,582,386,522.05
  5. Step 5: Solve for x
    x = 22,582,386,522.05/191,137.64
  6. Step 6: Final answer
    x = 118,147.25

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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.