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Finding the Fourth Proportional to 99,873.81, 137,813.40 and 56,858.85

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Solution

The fourth proportional to 99,873.81, 137,813.40 and 56,858.85 is: 78,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,873.81 : 137,813.40 = 56,858.85 : x
  2. Step 2: Convert to fraction form
    99,873.81/137,813.40 = 56,858.85/x
  3. Step 3: Cross multiply
    99,873.81x = 137,813.40 × 56,858.85
  4. Step 4: Simplify right side
    99,873.81x = 7,835,911,438.59
  5. Step 5: Solve for x
    x = 7,835,911,438.59/99,873.81
  6. Step 6: Final answer
    x = 78,458.12

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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.