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Finding the Fourth Proportional to 76,971.32, 106,219.38 and 42,980.39

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Solution

The fourth proportional to 76,971.32, 106,219.38 and 42,980.39 is: 59,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,971.32 : 106,219.38 = 42,980.39 : x
  2. Step 2: Convert to fraction form
    76,971.32/106,219.38 = 42,980.39/x
  3. Step 3: Cross multiply
    76,971.32x = 106,219.38 × 42,980.39
  4. Step 4: Simplify right side
    76,971.32x = 4,565,350,377.96
  5. Step 5: Solve for x
    x = 4,565,350,377.96/76,971.32
  6. Step 6: Final answer
    x = 59,312.36

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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.