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Finding the Fourth Proportional to 75,172, 103,737.36 and 45,364

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Solution

The fourth proportional to 75,172, 103,737.36 and 45,364 is: 62,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,172 : 103,737.36 = 45,364 : x
  2. Step 2: Convert to fraction form
    75,172/103,737.36 = 45,364/x
  3. Step 3: Cross multiply
    75,172x = 103,737.36 × 45,364
  4. Step 4: Simplify right side
    75,172x = 4,705,941,599.04
  5. Step 5: Solve for x
    x = 4,705,941,599.04/75,172
  6. Step 6: Final answer
    x = 62,602.32

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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.