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Finding the Fourth Proportional to 131,050, 180,849.12 and 71,434

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Solution

The fourth proportional to 131,050, 180,849.12 and 71,434 is: 98,578.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,050 : 180,849.12 = 71,434 : x
  2. Step 2: Convert to fraction form
    131,050/180,849.12 = 71,434/x
  3. Step 3: Cross multiply
    131,050x = 180,849.12 × 71,434
  4. Step 4: Simplify right side
    131,050x = 12,918,776,038.08
  5. Step 5: Solve for x
    x = 12,918,776,038.08/131,050
  6. Step 6: Final answer
    x = 98,578.99

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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.