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Finding the Fourth Proportional to 57,159.92, 78,706.86 and 50,693.60

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Solution

The fourth proportional to 57,159.92, 78,706.86 and 50,693.60 is: 69,803.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,159.92 : 78,706.86 = 50,693.60 : x
  2. Step 2: Convert to fraction form
    57,159.92/78,706.86 = 50,693.60/x
  3. Step 3: Cross multiply
    57,159.92x = 78,706.86 × 50,693.60
  4. Step 4: Simplify right side
    57,159.92x = 3,989,934,078.10
  5. Step 5: Solve for x
    x = 3,989,934,078.10/57,159.92
  6. Step 6: Final answer
    x = 69,803.00

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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.