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Finding the Fourth Proportional to 105,751.25, 145,946.08 and 58,013.90

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Solution

The fourth proportional to 105,751.25, 145,946.08 and 58,013.90 is: 80,064.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,751.25 : 145,946.08 = 58,013.90 : x
  2. Step 2: Convert to fraction form
    105,751.25/145,946.08 = 58,013.90/x
  3. Step 3: Cross multiply
    105,751.25x = 145,946.08 × 58,013.90
  4. Step 4: Simplify right side
    105,751.25x = 8,466,901,290.51
  5. Step 5: Solve for x
    x = 8,466,901,290.51/105,751.25
  6. Step 6: Final answer
    x = 80,064.31

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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.