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Finding the Fourth Proportional to 57,153.88, 78,870.57 and 31,659.22

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Solution

The fourth proportional to 57,153.88, 78,870.57 and 31,659.22 is: 43,688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,153.88 : 78,870.57 = 31,659.22 : x
  2. Step 2: Convert to fraction form
    57,153.88/78,870.57 = 31,659.22/x
  3. Step 3: Cross multiply
    57,153.88x = 78,870.57 × 31,659.22
  4. Step 4: Simplify right side
    57,153.88x = 2,496,980,727.16
  5. Step 5: Solve for x
    x = 2,496,980,727.16/57,153.88
  6. Step 6: Final answer
    x = 43,688.74

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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.