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Finding the Fourth Proportional to 88,716, 122,428.16 and 48,972

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Solution

The fourth proportional to 88,716, 122,428.16 and 48,972 is: 67,581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,716 : 122,428.16 = 48,972 : x
  2. Step 2: Convert to fraction form
    88,716/122,428.16 = 48,972/x
  3. Step 3: Cross multiply
    88,716x = 122,428.16 × 48,972
  4. Step 4: Simplify right side
    88,716x = 5,995,551,851.52
  5. Step 5: Solve for x
    x = 5,995,551,851.52/88,716
  6. Step 6: Final answer
    x = 67,581.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.