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Finding the Fourth Proportional to 105,627.84, 158,273.28 and 77,417.28

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Solution

The fourth proportional to 105,627.84, 158,273.28 and 77,417.28 is: 116,002.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,627.84 : 158,273.28 = 77,417.28 : x
  2. Step 2: Convert to fraction form
    105,627.84/158,273.28 = 77,417.28/x
  3. Step 3: Cross multiply
    105,627.84x = 158,273.28 × 77,417.28
  4. Step 4: Simplify right side
    105,627.84x = 12,253,086,834.28
  5. Step 5: Solve for x
    x = 12,253,086,834.28/105,627.84
  6. Step 6: Final answer
    x = 116,002.44

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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.