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Finding the Fourth Proportional to 76,178.76, 105,077.70 and 47,835.24

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Solution

The fourth proportional to 76,178.76, 105,077.70 and 47,835.24 is: 65,981.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,178.76 : 105,077.70 = 47,835.24 : x
  2. Step 2: Convert to fraction form
    76,178.76/105,077.70 = 47,835.24/x
  3. Step 3: Cross multiply
    76,178.76x = 105,077.70 × 47,835.24
  4. Step 4: Simplify right side
    76,178.76x = 5,026,416,998.15
  5. Step 5: Solve for x
    x = 5,026,416,998.15/76,178.76
  6. Step 6: Final answer
    x = 65,981.87

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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.