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Finding the Fourth Proportional to 78,186.38, 107,894.55 and 46,336.40

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Solution

The fourth proportional to 78,186.38, 107,894.55 and 46,336.40 is: 63,942.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,186.38 : 107,894.55 = 46,336.40 : x
  2. Step 2: Convert to fraction form
    78,186.38/107,894.55 = 46,336.40/x
  3. Step 3: Cross multiply
    78,186.38x = 107,894.55 × 46,336.40
  4. Step 4: Simplify right side
    78,186.38x = 4,999,445,026.62
  5. Step 5: Solve for x
    x = 4,999,445,026.62/78,186.38
  6. Step 6: Final answer
    x = 63,942.66

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1.5x scale

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.