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Finding the Fourth Proportional to 72,762.64, 109,038.36 and 39,454.48

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Solution

The fourth proportional to 72,762.64, 109,038.36 and 39,454.48 is: 59,124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,762.64 : 109,038.36 = 39,454.48 : x
  2. Step 2: Convert to fraction form
    72,762.64/109,038.36 = 39,454.48/x
  3. Step 3: Cross multiply
    72,762.64x = 109,038.36 × 39,454.48
  4. Step 4: Simplify right side
    72,762.64x = 4,302,051,793.85
  5. Step 5: Solve for x
    x = 4,302,051,793.85/72,762.64
  6. Step 6: Final answer
    x = 59,124.46

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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.