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Finding the Fourth Proportional to 102,043.16, 140,808.90 and 56,713.88

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Solution

The fourth proportional to 102,043.16, 140,808.90 and 56,713.88 is: 78,259.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,043.16 : 140,808.90 = 56,713.88 : x
  2. Step 2: Convert to fraction form
    102,043.16/140,808.90 = 56,713.88/x
  3. Step 3: Cross multiply
    102,043.16x = 140,808.90 × 56,713.88
  4. Step 4: Simplify right side
    102,043.16x = 7,985,819,057.53
  5. Step 5: Solve for x
    x = 7,985,819,057.53/102,043.16
  6. Step 6: Final answer
    x = 78,259.23

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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.