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Finding the Fourth Proportional to 92,142.88, 138,070.32 and 64,117.69

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Solution

The fourth proportional to 92,142.88, 138,070.32 and 64,117.69 is: 96,076.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,142.88 : 138,070.32 = 64,117.69 : x
  2. Step 2: Convert to fraction form
    92,142.88/138,070.32 = 64,117.69/x
  3. Step 3: Cross multiply
    92,142.88x = 138,070.32 × 64,117.69
  4. Step 4: Simplify right side
    92,142.88x = 8,852,749,975.96
  5. Step 5: Solve for x
    x = 8,852,749,975.96/92,142.88
  6. Step 6: Final answer
    x = 96,076.33

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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.