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Finding the Fourth Proportional to 78,105.60, 107,786.08 and 42,295.68

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Solution

The fourth proportional to 78,105.60, 107,786.08 and 42,295.68 is: 58,368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,105.60 : 107,786.08 = 42,295.68 : x
  2. Step 2: Convert to fraction form
    78,105.60/107,786.08 = 42,295.68/x
  3. Step 3: Cross multiply
    78,105.60x = 107,786.08 × 42,295.68
  4. Step 4: Simplify right side
    78,105.60x = 4,558,885,548.13
  5. Step 5: Solve for x
    x = 4,558,885,548.13/78,105.60
  6. Step 6: Final answer
    x = 58,368.23

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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.