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Finding the Fourth Proportional to 105,310.64, 145,312.44 and 60,590

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Solution

The fourth proportional to 105,310.64, 145,312.44 and 60,590 is: 83,604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,310.64 : 145,312.44 = 60,590 : x
  2. Step 2: Convert to fraction form
    105,310.64/145,312.44 = 60,590/x
  3. Step 3: Cross multiply
    105,310.64x = 145,312.44 × 60,590
  4. Step 4: Simplify right side
    105,310.64x = 8,804,480,739.60
  5. Step 5: Solve for x
    x = 8,804,480,739.60/105,310.64
  6. Step 6: Final answer
    x = 83,604.85

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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.