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Finding the Fourth Proportional to 78,228.97, 107,955.70 and 42,418.89

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Solution

The fourth proportional to 78,228.97, 107,955.70 and 42,418.89 is: 58,537.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,228.97 : 107,955.70 = 42,418.89 : x
  2. Step 2: Convert to fraction form
    78,228.97/107,955.70 = 42,418.89/x
  3. Step 3: Cross multiply
    78,228.97x = 107,955.70 × 42,418.89
  4. Step 4: Simplify right side
    78,228.97x = 4,579,360,857.13
  5. Step 5: Solve for x
    x = 4,579,360,857.13/78,228.97
  6. Step 6: Final answer
    x = 58,537.92

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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.