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Finding the Fourth Proportional to 78,415.92, 108,213.68 and 42,605.64

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Solution

The fourth proportional to 78,415.92, 108,213.68 and 42,605.64 is: 58,795.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,415.92 : 108,213.68 = 42,605.64 : x
  2. Step 2: Convert to fraction form
    78,415.92/108,213.68 = 42,605.64/x
  3. Step 3: Cross multiply
    78,415.92x = 108,213.68 × 42,605.64
  4. Step 4: Simplify right side
    78,415.92x = 4,610,513,093.16
  5. Step 5: Solve for x
    x = 4,610,513,093.16/78,415.92
  6. Step 6: Final answer
    x = 58,795.63

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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.