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Finding the Fourth Proportional to 76,807.58, 105,994.90 and 42,818.22

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Solution

The fourth proportional to 76,807.58, 105,994.90 and 42,818.22 is: 59,089.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,807.58 : 105,994.90 = 42,818.22 : x
  2. Step 2: Convert to fraction form
    76,807.58/105,994.90 = 42,818.22/x
  3. Step 3: Cross multiply
    76,807.58x = 105,994.90 × 42,818.22
  4. Step 4: Simplify right side
    76,807.58x = 4,538,512,947.08
  5. Step 5: Solve for x
    x = 4,538,512,947.08/76,807.58
  6. Step 6: Final answer
    x = 59,089.39

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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.