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Finding the Fourth Proportional to 104,678.90, 144,462.78 and 56,931.29

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Solution

The fourth proportional to 104,678.90, 144,462.78 and 56,931.29 is: 78,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,678.90 : 144,462.78 = 56,931.29 : x
  2. Step 2: Convert to fraction form
    104,678.90/144,462.78 = 56,931.29/x
  3. Step 3: Cross multiply
    104,678.90x = 144,462.78 × 56,931.29
  4. Step 4: Simplify right side
    104,678.90x = 8,224,451,700.07
  5. Step 5: Solve for x
    x = 8,224,451,700.07/104,678.90
  6. Step 6: Final answer
    x = 78,568.38

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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.