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Finding the Fourth Proportional to 73,688.34, 101,689.92 and 40,154.34

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Solution

The fourth proportional to 73,688.34, 101,689.92 and 40,154.34 is: 55,413.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,688.34 : 101,689.92 = 40,154.34 : x
  2. Step 2: Convert to fraction form
    73,688.34/101,689.92 = 40,154.34/x
  3. Step 3: Cross multiply
    73,688.34x = 101,689.92 × 40,154.34
  4. Step 4: Simplify right side
    73,688.34x = 4,083,291,622.25
  5. Step 5: Solve for x
    x = 4,083,291,622.25/73,688.34
  6. Step 6: Final answer
    x = 55,413.00

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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.