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Finding the Fourth Proportional to 125,779.68, 188,782.32 and 112,431.60

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Solution

The fourth proportional to 125,779.68, 188,782.32 and 112,431.60 is: 168,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,779.68 : 188,782.32 = 112,431.60 : x
  2. Step 2: Convert to fraction form
    125,779.68/188,782.32 = 112,431.60/x
  3. Step 3: Cross multiply
    125,779.68x = 188,782.32 × 112,431.60
  4. Step 4: Simplify right side
    125,779.68x = 21,225,098,289.31
  5. Step 5: Solve for x
    x = 21,225,098,289.31/125,779.68
  6. Step 6: Final answer
    x = 168,748.23

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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.