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Finding the Fourth Proportional to 74,857.66, 103,305.45 and 42,590.50

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Solution

The fourth proportional to 74,857.66, 103,305.45 and 42,590.50 is: 58,775.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,857.66 : 103,305.45 = 42,590.50 : x
  2. Step 2: Convert to fraction form
    74,857.66/103,305.45 = 42,590.50/x
  3. Step 3: Cross multiply
    74,857.66x = 103,305.45 × 42,590.50
  4. Step 4: Simplify right side
    74,857.66x = 4,399,830,768.23
  5. Step 5: Solve for x
    x = 4,399,830,768.23/74,857.66
  6. Step 6: Final answer
    x = 58,775.96

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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.