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Finding the Fourth Proportional to 48,152, 72,242.40 and 20,452.16

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Solution

The fourth proportional to 48,152, 72,242.40 and 20,452.16 is: 30,684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,152 : 72,242.40 = 20,452.16 : x
  2. Step 2: Convert to fraction form
    48,152/72,242.40 = 20,452.16/x
  3. Step 3: Cross multiply
    48,152x = 72,242.40 × 20,452.16
  4. Step 4: Simplify right side
    48,152x = 1,477,513,123.58
  5. Step 5: Solve for x
    x = 1,477,513,123.58/48,152
  6. Step 6: Final answer
    x = 30,684.36

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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.