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Finding the Fourth Proportional to 76,980.86, 106,220.64 and 42,988.04

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Solution

The fourth proportional to 76,980.86, 106,220.64 and 42,988.04 is: 59,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,980.86 : 106,220.64 = 42,988.04 : x
  2. Step 2: Convert to fraction form
    76,980.86/106,220.64 = 42,988.04/x
  3. Step 3: Cross multiply
    76,980.86x = 106,220.64 × 42,988.04
  4. Step 4: Simplify right side
    76,980.86x = 4,566,217,121.15
  5. Step 5: Solve for x
    x = 4,566,217,121.15/76,980.86
  6. Step 6: Final answer
    x = 59,316.27

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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.