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Finding the Fourth Proportional to 77,368, 115,872 and 75,239.60

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Solution

The fourth proportional to 77,368, 115,872 and 75,239.60 is: 112,684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,368 : 115,872 = 75,239.60 : x
  2. Step 2: Convert to fraction form
    77,368/115,872 = 75,239.60/x
  3. Step 3: Cross multiply
    77,368x = 115,872 × 75,239.60
  4. Step 4: Simplify right side
    77,368x = 8,718,162,931.20
  5. Step 5: Solve for x
    x = 8,718,162,931.20/77,368
  6. Step 6: Final answer
    x = 112,684.35

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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.