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Finding the Fourth Proportional to 77,755, 107,314.88 and 58,859.32

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Solution

The fourth proportional to 77,755, 107,314.88 and 58,859.32 is: 81,235.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,755 : 107,314.88 = 58,859.32 : x
  2. Step 2: Convert to fraction form
    77,755/107,314.88 = 58,859.32/x
  3. Step 3: Cross multiply
    77,755x = 107,314.88 × 58,859.32
  4. Step 4: Simplify right side
    77,755x = 6,316,480,862.68
  5. Step 5: Solve for x
    x = 6,316,480,862.68/77,755
  6. Step 6: Final answer
    x = 81,235.69

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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.