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Finding the Fourth Proportional to 75,682.50, 104,445.09 and 42,148.50

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Solution

The fourth proportional to 75,682.50, 104,445.09 and 42,148.50 is: 58,166.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,682.50 : 104,445.09 = 42,148.50 : x
  2. Step 2: Convert to fraction form
    75,682.50/104,445.09 = 42,148.50/x
  3. Step 3: Cross multiply
    75,682.50x = 104,445.09 × 42,148.50
  4. Step 4: Simplify right side
    75,682.50x = 4,402,203,875.87
  5. Step 5: Solve for x
    x = 4,402,203,875.87/75,682.50
  6. Step 6: Final answer
    x = 58,166.73

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1.5x scale

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.