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Finding the Fourth Proportional to 104,281.90, 143,909.76 and 56,536

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Solution

The fourth proportional to 104,281.90, 143,909.76 and 56,536 is: 78,020.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,281.90 : 143,909.76 = 56,536 : x
  2. Step 2: Convert to fraction form
    104,281.90/143,909.76 = 56,536/x
  3. Step 3: Cross multiply
    104,281.90x = 143,909.76 × 56,536
  4. Step 4: Simplify right side
    104,281.90x = 8,136,082,191.36
  5. Step 5: Solve for x
    x = 8,136,082,191.36/104,281.90
  6. Step 6: Final answer
    x = 78,020.08

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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.