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Finding the Fourth Proportional to 125,075.21, 187,779.92 and 71,820.40

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Solution

The fourth proportional to 125,075.21, 187,779.92 and 71,820.40 is: 107,826.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,075.21 : 187,779.92 = 71,820.40 : x
  2. Step 2: Convert to fraction form
    125,075.21/187,779.92 = 71,820.40/x
  3. Step 3: Cross multiply
    125,075.21x = 187,779.92 × 71,820.40
  4. Step 4: Simplify right side
    125,075.21x = 13,486,428,365.76
  5. Step 5: Solve for x
    x = 13,486,428,365.76/125,075.21
  6. Step 6: Final answer
    x = 107,826.55

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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.