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Finding the Fourth Proportional to 73,970.91, 102,077.96 and 40,434.75

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Solution

The fourth proportional to 73,970.91, 102,077.96 and 40,434.75 is: 55,798.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,970.91 : 102,077.96 = 40,434.75 : x
  2. Step 2: Convert to fraction form
    73,970.91/102,077.96 = 40,434.75/x
  3. Step 3: Cross multiply
    73,970.91x = 102,077.96 × 40,434.75
  4. Step 4: Simplify right side
    73,970.91x = 4,127,496,590.94
  5. Step 5: Solve for x
    x = 4,127,496,590.94/73,970.91
  6. Step 6: Final answer
    x = 55,798.92

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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.