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Finding the Fourth Proportional to 78,219.94, 107,943 and 42,409.84

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Solution

The fourth proportional to 78,219.94, 107,943 and 42,409.84 is: 58,525.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,219.94 : 107,943 = 42,409.84 : x
  2. Step 2: Convert to fraction form
    78,219.94/107,943 = 42,409.84/x
  3. Step 3: Cross multiply
    78,219.94x = 107,943 × 42,409.84
  4. Step 4: Simplify right side
    78,219.94x = 4,577,845,359.12
  5. Step 5: Solve for x
    x = 4,577,845,359.12/78,219.94
  6. Step 6: Final answer
    x = 58,525.30

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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.