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Finding the Fourth Proportional to 76,595.32, 105,700.02 and 42,602.64

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Solution

The fourth proportional to 76,595.32, 105,700.02 and 42,602.64 is: 58,790.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,595.32 : 105,700.02 = 42,602.64 : x
  2. Step 2: Convert to fraction form
    76,595.32/105,700.02 = 42,602.64/x
  3. Step 3: Cross multiply
    76,595.32x = 105,700.02 × 42,602.64
  4. Step 4: Simplify right side
    76,595.32x = 4,503,100,023.13
  5. Step 5: Solve for x
    x = 4,503,100,023.13/76,595.32
  6. Step 6: Final answer
    x = 58,790.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.