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Finding the Fourth Proportional to 78,348.78, 108,110.43 and 46,084.86

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Solution

The fourth proportional to 78,348.78, 108,110.43 and 46,084.86 is: 63,590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,348.78 : 108,110.43 = 46,084.86 : x
  2. Step 2: Convert to fraction form
    78,348.78/108,110.43 = 46,084.86/x
  3. Step 3: Cross multiply
    78,348.78x = 108,110.43 × 46,084.86
  4. Step 4: Simplify right side
    78,348.78x = 4,982,254,031.09
  5. Step 5: Solve for x
    x = 4,982,254,031.09/78,348.78
  6. Step 6: Final answer
    x = 63,590.70

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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.