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Finding the Fourth Proportional to 77,981.52, 116,982 and 25,376.88

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Solution

The fourth proportional to 77,981.52, 116,982 and 25,376.88 is: 38,068.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,981.52 : 116,982 = 25,376.88 : x
  2. Step 2: Convert to fraction form
    77,981.52/116,982 = 25,376.88/x
  3. Step 3: Cross multiply
    77,981.52x = 116,982 × 25,376.88
  4. Step 4: Simplify right side
    77,981.52x = 2,968,638,176.16
  5. Step 5: Solve for x
    x = 2,968,638,176.16/77,981.52
  6. Step 6: Final answer
    x = 38,068.48

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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.