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Finding the Fourth Proportional to 139,760.40, 209,727 and 56,655.12

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Solution

The fourth proportional to 139,760.40, 209,727 and 56,655.12 is: 85,017.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,760.40 : 209,727 = 56,655.12 : x
  2. Step 2: Convert to fraction form
    139,760.40/209,727 = 56,655.12/x
  3. Step 3: Cross multiply
    139,760.40x = 209,727 × 56,655.12
  4. Step 4: Simplify right side
    139,760.40x = 11,882,108,352.24
  5. Step 5: Solve for x
    x = 11,882,108,352.24/139,760.40
  6. Step 6: Final answer
    x = 85,017.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.