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Finding the Fourth Proportional to 102,387.76, 153,483 and 52,491.28

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Solution

The fourth proportional to 102,387.76, 153,483 and 52,491.28 is: 78,686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,387.76 : 153,483 = 52,491.28 : x
  2. Step 2: Convert to fraction form
    102,387.76/153,483 = 52,491.28/x
  3. Step 3: Cross multiply
    102,387.76x = 153,483 × 52,491.28
  4. Step 4: Simplify right side
    102,387.76x = 8,056,519,128.24
  5. Step 5: Solve for x
    x = 8,056,519,128.24/102,387.76
  6. Step 6: Final answer
    x = 78,686.35

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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.