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Finding the Fourth Proportional to 102,781.70, 144,309.10 and 102,781.70

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Solution

The fourth proportional to 102,781.70, 144,309.10 and 102,781.70 is: 144,309.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,781.70 : 144,309.10 = 102,781.70 : x
  2. Step 2: Convert to fraction form
    102,781.70/144,309.10 = 102,781.70/x
  3. Step 3: Cross multiply
    102,781.70x = 144,309.10 × 102,781.70
  4. Step 4: Simplify right side
    102,781.70x = 14,832,334,623.47
  5. Step 5: Solve for x
    x = 14,832,334,623.47/102,781.70
  6. Step 6: Final answer
    x = 144,309.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.