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Finding the Fourth Proportional to 74,809.96, 112,117.94 and 30,385.10

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Solution

The fourth proportional to 74,809.96, 112,117.94 and 30,385.10 is: 45,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,809.96 : 112,117.94 = 30,385.10 : x
  2. Step 2: Convert to fraction form
    74,809.96/112,117.94 = 30,385.10/x
  3. Step 3: Cross multiply
    74,809.96x = 112,117.94 × 30,385.10
  4. Step 4: Simplify right side
    74,809.96x = 3,406,714,818.69
  5. Step 5: Solve for x
    x = 3,406,714,818.69/74,809.96
  6. Step 6: Final answer
    x = 45,538.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.