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Finding the Fourth Proportional to 75,415.40, 113,048.70 and 42,151.40

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Solution

The fourth proportional to 75,415.40, 113,048.70 and 42,151.40 is: 63,185.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,415.40 : 113,048.70 = 42,151.40 : x
  2. Step 2: Convert to fraction form
    75,415.40/113,048.70 = 42,151.40/x
  3. Step 3: Cross multiply
    75,415.40x = 113,048.70 × 42,151.40
  4. Step 4: Simplify right side
    75,415.40x = 4,765,160,973.18
  5. Step 5: Solve for x
    x = 4,765,160,973.18/75,415.40
  6. Step 6: Final answer
    x = 63,185.52

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1.5x scale

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.