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Finding the Fourth Proportional to 76,368.83, 105,392.57 and 47,705.45

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Solution

The fourth proportional to 76,368.83, 105,392.57 and 47,705.45 is: 65,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,368.83 : 105,392.57 = 47,705.45 : x
  2. Step 2: Convert to fraction form
    76,368.83/105,392.57 = 47,705.45/x
  3. Step 3: Cross multiply
    76,368.83x = 105,392.57 × 47,705.45
  4. Step 4: Simplify right side
    76,368.83x = 5,027,799,213.02
  5. Step 5: Solve for x
    x = 5,027,799,213.02/76,368.83
  6. Step 6: Final answer
    x = 65,835.75

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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.