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Finding the Fourth Proportional to 99,415.34, 137,193.74 and 54,093.63

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Solution

The fourth proportional to 99,415.34, 137,193.74 and 54,093.63 is: 74,649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,415.34 : 137,193.74 = 54,093.63 : x
  2. Step 2: Convert to fraction form
    99,415.34/137,193.74 = 54,093.63/x
  3. Step 3: Cross multiply
    99,415.34x = 137,193.74 × 54,093.63
  4. Step 4: Simplify right side
    99,415.34x = 7,421,307,409.88
  5. Step 5: Solve for x
    x = 7,421,307,409.88/99,415.34
  6. Step 6: Final answer
    x = 74,649.52

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1.5x scale

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.