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Finding the Fourth Proportional to 196,655.10, 295,055.55 and 78,411.30

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Solution

The fourth proportional to 196,655.10, 295,055.55 and 78,411.30 is: 117,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,655.10 : 295,055.55 = 78,411.30 : x
  2. Step 2: Convert to fraction form
    196,655.10/295,055.55 = 78,411.30/x
  3. Step 3: Cross multiply
    196,655.10x = 295,055.55 × 78,411.30
  4. Step 4: Simplify right side
    196,655.10x = 23,135,689,247.72
  5. Step 5: Solve for x
    x = 23,135,689,247.72/196,655.10
  6. Step 6: Final answer
    x = 117,646.02

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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.