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Finding the Fourth Proportional to 104,105.77, 143,666.29 and 56,359

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Solution

The fourth proportional to 104,105.77, 143,666.29 and 56,359 is: 77,775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,105.77 : 143,666.29 = 56,359 : x
  2. Step 2: Convert to fraction form
    104,105.77/143,666.29 = 56,359/x
  3. Step 3: Cross multiply
    104,105.77x = 143,666.29 × 56,359
  4. Step 4: Simplify right side
    104,105.77x = 8,096,888,438.11
  5. Step 5: Solve for x
    x = 8,096,888,438.11/104,105.77
  6. Step 6: Final answer
    x = 77,775.60

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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.