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Finding the Fourth Proportional to 48,465.76, 72,700.08 and 13,408

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Solution

The fourth proportional to 48,465.76, 72,700.08 and 13,408 is: 20,112.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,465.76 : 72,700.08 = 13,408 : x
  2. Step 2: Convert to fraction form
    48,465.76/72,700.08 = 13,408/x
  3. Step 3: Cross multiply
    48,465.76x = 72,700.08 × 13,408
  4. Step 4: Simplify right side
    48,465.76x = 974,762,672.64
  5. Step 5: Solve for x
    x = 974,762,672.64/48,465.76
  6. Step 6: Final answer
    x = 20,112.40

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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.