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Finding the Fourth Proportional to 104,225.48, 143,830.80 and 56,480

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Solution

The fourth proportional to 104,225.48, 143,830.80 and 56,480 is: 77,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,225.48 : 143,830.80 = 56,480 : x
  2. Step 2: Convert to fraction form
    104,225.48/143,830.80 = 56,480/x
  3. Step 3: Cross multiply
    104,225.48x = 143,830.80 × 56,480
  4. Step 4: Simplify right side
    104,225.48x = 8,123,563,584.00
  5. Step 5: Solve for x
    x = 8,123,563,584.00/104,225.48
  6. Step 6: Final answer
    x = 77,942.20

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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.