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Finding the Fourth Proportional to 99,438.94, 137,194.80 and 56,411.32

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Solution

The fourth proportional to 99,438.94, 137,194.80 and 56,411.32 is: 77,830.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,438.94 : 137,194.80 = 56,411.32 : x
  2. Step 2: Convert to fraction form
    99,438.94/137,194.80 = 56,411.32/x
  3. Step 3: Cross multiply
    99,438.94x = 137,194.80 × 56,411.32
  4. Step 4: Simplify right side
    99,438.94x = 7,739,339,765.14
  5. Step 5: Solve for x
    x = 7,739,339,765.14/99,438.94
  6. Step 6: Final answer
    x = 77,830.07

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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.