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Finding the Fourth Proportional to 102,403.80, 141,300.09 and 57,071.88

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Solution

The fourth proportional to 102,403.80, 141,300.09 and 57,071.88 is: 78,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,403.80 : 141,300.09 = 57,071.88 : x
  2. Step 2: Convert to fraction form
    102,403.80/141,300.09 = 57,071.88/x
  3. Step 3: Cross multiply
    102,403.80x = 141,300.09 × 57,071.88
  4. Step 4: Simplify right side
    102,403.80x = 8,064,261,780.47
  5. Step 5: Solve for x
    x = 8,064,261,780.47/102,403.80
  6. Step 6: Final answer
    x = 78,749.63

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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.