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Finding the Fourth Proportional to 104,411.64, 144,088.28 and 61,978.68

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Solution

The fourth proportional to 104,411.64, 144,088.28 and 61,978.68 is: 85,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,411.64 : 144,088.28 = 61,978.68 : x
  2. Step 2: Convert to fraction form
    104,411.64/144,088.28 = 61,978.68/x
  3. Step 3: Cross multiply
    104,411.64x = 144,088.28 × 61,978.68
  4. Step 4: Simplify right side
    104,411.64x = 8,930,401,397.87
  5. Step 5: Solve for x
    x = 8,930,401,397.87/104,411.64
  6. Step 6: Final answer
    x = 85,530.71

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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.