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Finding the Fourth Proportional to 72,710.63, 100,342.13 and 42,497.22

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Solution

The fourth proportional to 72,710.63, 100,342.13 and 42,497.22 is: 58,647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,710.63 : 100,342.13 = 42,497.22 : x
  2. Step 2: Convert to fraction form
    72,710.63/100,342.13 = 42,497.22/x
  3. Step 3: Cross multiply
    72,710.63x = 100,342.13 × 42,497.22
  4. Step 4: Simplify right side
    72,710.63x = 4,264,261,737.68
  5. Step 5: Solve for x
    x = 4,264,261,737.68/72,710.63
  6. Step 6: Final answer
    x = 58,647.02

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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.