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Finding the Fourth Proportional to 102,263.64, 153,191.25 and 81,239.28

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Solution

The fourth proportional to 102,263.64, 153,191.25 and 81,239.28 is: 121,696.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,263.64 : 153,191.25 = 81,239.28 : x
  2. Step 2: Convert to fraction form
    102,263.64/153,191.25 = 81,239.28/x
  3. Step 3: Cross multiply
    102,263.64x = 153,191.25 × 81,239.28
  4. Step 4: Simplify right side
    102,263.64x = 12,445,146,852.30
  5. Step 5: Solve for x
    x = 12,445,146,852.30/102,263.64
  6. Step 6: Final answer
    x = 121,696.69

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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.