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Finding the Fourth Proportional to 76,871.86, 106,042.80 and 62,547.70

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Solution

The fourth proportional to 76,871.86, 106,042.80 and 62,547.70 is: 86,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,871.86 : 106,042.80 = 62,547.70 : x
  2. Step 2: Convert to fraction form
    76,871.86/106,042.80 = 62,547.70/x
  3. Step 3: Cross multiply
    76,871.86x = 106,042.80 × 62,547.70
  4. Step 4: Simplify right side
    76,871.86x = 6,632,733,241.56
  5. Step 5: Solve for x
    x = 6,632,733,241.56/76,871.86
  6. Step 6: Final answer
    x = 86,282.98

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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.