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Finding the Fourth Proportional to 76,492.75, 105,576.86 and 42,512.91

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Solution

The fourth proportional to 76,492.75, 105,576.86 and 42,512.91 is: 58,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,492.75 : 105,576.86 = 42,512.91 : x
  2. Step 2: Convert to fraction form
    76,492.75/105,576.86 = 42,512.91/x
  3. Step 3: Cross multiply
    76,492.75x = 105,576.86 × 42,512.91
  4. Step 4: Simplify right side
    76,492.75x = 4,488,379,547.26
  5. Step 5: Solve for x
    x = 4,488,379,547.26/76,492.75
  6. Step 6: Final answer
    x = 58,677.19

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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.