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Finding the Fourth Proportional to 104,114.65, 143,678.04 and 56,368

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Solution

The fourth proportional to 104,114.65, 143,678.04 and 56,368 is: 77,787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,114.65 : 143,678.04 = 56,368 : x
  2. Step 2: Convert to fraction form
    104,114.65/143,678.04 = 56,368/x
  3. Step 3: Cross multiply
    104,114.65x = 143,678.04 × 56,368
  4. Step 4: Simplify right side
    104,114.65x = 8,098,843,758.72
  5. Step 5: Solve for x
    x = 8,098,843,758.72/104,114.65
  6. Step 6: Final answer
    x = 77,787.74

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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.