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Finding the Fourth Proportional to 76,649.12, 105,746.40 and 56,553.92

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Solution

The fourth proportional to 76,649.12, 105,746.40 and 56,553.92 is: 78,022.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,649.12 : 105,746.40 = 56,553.92 : x
  2. Step 2: Convert to fraction form
    76,649.12/105,746.40 = 56,553.92/x
  3. Step 3: Cross multiply
    76,649.12x = 105,746.40 × 56,553.92
  4. Step 4: Simplify right side
    76,649.12x = 5,980,373,445.89
  5. Step 5: Solve for x
    x = 5,980,373,445.89/76,649.12
  6. Step 6: Final answer
    x = 78,022.73

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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.