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Finding the Fourth Proportional to 51,070.64, 70,477.72 and 29,845.40

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Solution

The fourth proportional to 51,070.64, 70,477.72 and 29,845.40 is: 41,186.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,070.64 : 70,477.72 = 29,845.40 : x
  2. Step 2: Convert to fraction form
    51,070.64/70,477.72 = 29,845.40/x
  3. Step 3: Cross multiply
    51,070.64x = 70,477.72 × 29,845.40
  4. Step 4: Simplify right side
    51,070.64x = 2,103,435,744.49
  5. Step 5: Solve for x
    x = 2,103,435,744.49/51,070.64
  6. Step 6: Final answer
    x = 41,186.79

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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.