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Finding the Fourth Proportional to 55,402.95, 83,082.54 and 20,323.47

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Solution

The fourth proportional to 55,402.95, 83,082.54 and 20,323.47 is: 30,477.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,402.95 : 83,082.54 = 20,323.47 : x
  2. Step 2: Convert to fraction form
    55,402.95/83,082.54 = 20,323.47/x
  3. Step 3: Cross multiply
    55,402.95x = 83,082.54 × 20,323.47
  4. Step 4: Simplify right side
    55,402.95x = 1,688,525,509.21
  5. Step 5: Solve for x
    x = 1,688,525,509.21/55,402.95
  6. Step 6: Final answer
    x = 30,477.18

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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.