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Finding the Fourth Proportional to 102,515, 141,470.70 and 55,411

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Solution

The fourth proportional to 102,515, 141,470.70 and 55,411 is: 76,467.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,515 : 141,470.70 = 55,411 : x
  2. Step 2: Convert to fraction form
    102,515/141,470.70 = 55,411/x
  3. Step 3: Cross multiply
    102,515x = 141,470.70 × 55,411
  4. Step 4: Simplify right side
    102,515x = 7,839,032,957.70
  5. Step 5: Solve for x
    x = 7,839,032,957.70/102,515
  6. Step 6: Final answer
    x = 76,467.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.