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Finding the Fourth Proportional to 56,410.68, 77,755.38 and 38,255.40

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Solution

The fourth proportional to 56,410.68, 77,755.38 and 38,255.40 is: 52,730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,410.68 : 77,755.38 = 38,255.40 : x
  2. Step 2: Convert to fraction form
    56,410.68/77,755.38 = 38,255.40/x
  3. Step 3: Cross multiply
    56,410.68x = 77,755.38 × 38,255.40
  4. Step 4: Simplify right side
    56,410.68x = 2,974,563,164.05
  5. Step 5: Solve for x
    x = 2,974,563,164.05/56,410.68
  6. Step 6: Final answer
    x = 52,730.50

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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.