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Finding the Fourth Proportional to 105,049.46, 144,920.58 and 61,999.74

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Solution

The fourth proportional to 105,049.46, 144,920.58 and 61,999.74 is: 85,531.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,049.46 : 144,920.58 = 61,999.74 : x
  2. Step 2: Convert to fraction form
    105,049.46/144,920.58 = 61,999.74/x
  3. Step 3: Cross multiply
    105,049.46x = 144,920.58 × 61,999.74
  4. Step 4: Simplify right side
    105,049.46x = 8,985,038,280.65
  5. Step 5: Solve for x
    x = 8,985,038,280.65/105,049.46
  6. Step 6: Final answer
    x = 85,531.51

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1.5x scale

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.