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Finding the Fourth Proportional to 102,427.80, 153,497.70 and 81,403.80

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Solution

The fourth proportional to 102,427.80, 153,497.70 and 81,403.80 is: 121,991.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,427.80 : 153,497.70 = 81,403.80 : x
  2. Step 2: Convert to fraction form
    102,427.80/153,497.70 = 81,403.80/x
  3. Step 3: Cross multiply
    102,427.80x = 153,497.70 × 81,403.80
  4. Step 4: Simplify right side
    102,427.80x = 12,495,296,071.26
  5. Step 5: Solve for x
    x = 12,495,296,071.26/102,427.80
  6. Step 6: Final answer
    x = 121,991.26

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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.