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Finding the Fourth Proportional to 53,461, 73,691.19 and 42,112.53

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Solution

The fourth proportional to 53,461, 73,691.19 and 42,112.53 is: 58,048.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,461 : 73,691.19 = 42,112.53 : x
  2. Step 2: Convert to fraction form
    53,461/73,691.19 = 42,112.53/x
  3. Step 3: Cross multiply
    53,461x = 73,691.19 × 42,112.53
  4. Step 4: Simplify right side
    53,461x = 3,103,322,449.61
  5. Step 5: Solve for x
    x = 3,103,322,449.61/53,461
  6. Step 6: Final answer
    x = 58,048.34

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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.