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Finding the Fourth Proportional to 83,657.10, 115,468.10 and 47,858.34

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Solution

The fourth proportional to 83,657.10, 115,468.10 and 47,858.34 is: 66,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,657.10 : 115,468.10 = 47,858.34 : x
  2. Step 2: Convert to fraction form
    83,657.10/115,468.10 = 47,858.34/x
  3. Step 3: Cross multiply
    83,657.10x = 115,468.10 × 47,858.34
  4. Step 4: Simplify right side
    83,657.10x = 5,526,111,708.60
  5. Step 5: Solve for x
    x = 5,526,111,708.60/83,657.10
  6. Step 6: Final answer
    x = 66,056.70

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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.