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Finding the Fourth Proportional to 99,742.32, 137,640.60 and 55,030.32

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Solution

The fourth proportional to 99,742.32, 137,640.60 and 55,030.32 is: 75,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,742.32 : 137,640.60 = 55,030.32 : x
  2. Step 2: Convert to fraction form
    99,742.32/137,640.60 = 55,030.32/x
  3. Step 3: Cross multiply
    99,742.32x = 137,640.60 × 55,030.32
  4. Step 4: Simplify right side
    99,742.32x = 7,574,406,262.99
  5. Step 5: Solve for x
    x = 7,574,406,262.99/99,742.32
  6. Step 6: Final answer
    x = 75,939.74

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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.