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Finding the Fourth Proportional to 102,713.55, 141,742.04 and 57,391.91

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Solution

The fourth proportional to 102,713.55, 141,742.04 and 57,391.91 is: 79,199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,713.55 : 141,742.04 = 57,391.91 : x
  2. Step 2: Convert to fraction form
    102,713.55/141,742.04 = 57,391.91/x
  3. Step 3: Cross multiply
    102,713.55x = 141,742.04 × 57,391.91
  4. Step 4: Simplify right side
    102,713.55x = 8,134,845,407.23
  5. Step 5: Solve for x
    x = 8,134,845,407.23/102,713.55
  6. Step 6: Final answer
    x = 79,199.34

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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.