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Finding the Fourth Proportional to 196,658.80, 294,989.82 and 56,421.88

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Solution

The fourth proportional to 196,658.80, 294,989.82 and 56,421.88 is: 84,633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,658.80 : 294,989.82 = 56,421.88 : x
  2. Step 2: Convert to fraction form
    196,658.80/294,989.82 = 56,421.88/x
  3. Step 3: Cross multiply
    196,658.80x = 294,989.82 × 56,421.88
  4. Step 4: Simplify right side
    196,658.80x = 16,643,880,225.26
  5. Step 5: Solve for x
    x = 16,643,880,225.26/196,658.80
  6. Step 6: Final answer
    x = 84,633.28

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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.