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Finding the Fourth Proportional to 48,502.08, 72,745.92 and 13,438.08

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Solution

The fourth proportional to 48,502.08, 72,745.92 and 13,438.08 is: 20,155.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,502.08 : 72,745.92 = 13,438.08 : x
  2. Step 2: Convert to fraction form
    48,502.08/72,745.92 = 13,438.08/x
  3. Step 3: Cross multiply
    48,502.08x = 72,745.92 × 13,438.08
  4. Step 4: Simplify right side
    48,502.08x = 977,565,492.63
  5. Step 5: Solve for x
    x = 977,565,492.63/48,502.08
  6. Step 6: Final answer
    x = 20,155.13

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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.