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Finding the Fourth Proportional to 103,045.70, 142,200.53 and 57,723.40

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Solution

The fourth proportional to 103,045.70, 142,200.53 and 57,723.40 is: 79,656.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,045.70 : 142,200.53 = 57,723.40 : x
  2. Step 2: Convert to fraction form
    103,045.70/142,200.53 = 57,723.40/x
  3. Step 3: Cross multiply
    103,045.70x = 142,200.53 × 57,723.40
  4. Step 4: Simplify right side
    103,045.70x = 8,208,298,179.00
  5. Step 5: Solve for x
    x = 8,208,298,179.00/103,045.70
  6. Step 6: Final answer
    x = 79,656.87

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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.