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Finding the Fourth Proportional to 125,837, 188,784.70 and 42,731.08

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Solution

The fourth proportional to 125,837, 188,784.70 and 42,731.08 is: 64,106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,837 : 188,784.70 = 42,731.08 : x
  2. Step 2: Convert to fraction form
    125,837/188,784.70 = 42,731.08/x
  3. Step 3: Cross multiply
    125,837x = 188,784.70 × 42,731.08
  4. Step 4: Simplify right side
    125,837x = 8,066,974,118.48
  5. Step 5: Solve for x
    x = 8,066,974,118.48/125,837
  6. Step 6: Final answer
    x = 64,106.54

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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.