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Finding the Fourth Proportional to 105,730, 145,907.40 and 58,626

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Solution

The fourth proportional to 105,730, 145,907.40 and 58,626 is: 80,903.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,730 : 145,907.40 = 58,626 : x
  2. Step 2: Convert to fraction form
    105,730/145,907.40 = 58,626/x
  3. Step 3: Cross multiply
    105,730x = 145,907.40 × 58,626
  4. Step 4: Simplify right side
    105,730x = 8,553,967,232.40
  5. Step 5: Solve for x
    x = 8,553,967,232.40/105,730
  6. Step 6: Final answer
    x = 80,903.88

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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.