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Finding the Fourth Proportional to 56,007, 77,289.66 and 30,857.04

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Solution

The fourth proportional to 56,007, 77,289.66 and 30,857.04 is: 42,582.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,007 : 77,289.66 = 30,857.04 : x
  2. Step 2: Convert to fraction form
    56,007/77,289.66 = 30,857.04/x
  3. Step 3: Cross multiply
    56,007x = 77,289.66 × 30,857.04
  4. Step 4: Simplify right side
    56,007x = 2,384,930,130.21
  5. Step 5: Solve for x
    x = 2,384,930,130.21/56,007
  6. Step 6: Final answer
    x = 42,582.72

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1.5x scale

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.