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Finding the Fourth Proportional to 74,587.64, 102,944.76 and 42,756.80

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Solution

The fourth proportional to 74,587.64, 102,944.76 and 42,756.80 is: 59,012.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,587.64 : 102,944.76 = 42,756.80 : x
  2. Step 2: Convert to fraction form
    74,587.64/102,944.76 = 42,756.80/x
  3. Step 3: Cross multiply
    74,587.64x = 102,944.76 × 42,756.80
  4. Step 4: Simplify right side
    74,587.64x = 4,401,588,514.37
  5. Step 5: Solve for x
    x = 4,401,588,514.37/74,587.64
  6. Step 6: Final answer
    x = 59,012.30

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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.