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Finding the Fourth Proportional to 102,907.68, 142,008.72 and 58,196.64

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Solution

The fourth proportional to 102,907.68, 142,008.72 and 58,196.64 is: 80,309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,907.68 : 142,008.72 = 58,196.64 : x
  2. Step 2: Convert to fraction form
    102,907.68/142,008.72 = 58,196.64/x
  3. Step 3: Cross multiply
    102,907.68x = 142,008.72 × 58,196.64
  4. Step 4: Simplify right side
    102,907.68x = 8,264,430,354.70
  5. Step 5: Solve for x
    x = 8,264,430,354.70/102,907.68
  6. Step 6: Final answer
    x = 80,309.17

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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.