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Finding the Fourth Proportional to 75,538.68, 104,243.10 and 42,004.68

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Solution

The fourth proportional to 75,538.68, 104,243.10 and 42,004.68 is: 57,966.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,538.68 : 104,243.10 = 42,004.68 : x
  2. Step 2: Convert to fraction form
    75,538.68/104,243.10 = 42,004.68/x
  3. Step 3: Cross multiply
    75,538.68x = 104,243.10 × 42,004.68
  4. Step 4: Simplify right side
    75,538.68x = 4,378,698,057.71
  5. Step 5: Solve for x
    x = 4,378,698,057.71/75,538.68
  6. Step 6: Final answer
    x = 57,966.30

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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.