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Finding the Fourth Proportional to 102,267.52, 153,418.40 and 57,980.80

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Solution

The fourth proportional to 102,267.52, 153,418.40 and 57,980.80 is: 86,980.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,267.52 : 153,418.40 = 57,980.80 : x
  2. Step 2: Convert to fraction form
    102,267.52/153,418.40 = 57,980.80/x
  3. Step 3: Cross multiply
    102,267.52x = 153,418.40 × 57,980.80
  4. Step 4: Simplify right side
    102,267.52x = 8,895,321,566.72
  5. Step 5: Solve for x
    x = 8,895,321,566.72/102,267.52
  6. Step 6: Final answer
    x = 86,980.91

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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.