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Finding the Fourth Proportional to 54,978,062.16, 75,867,647.11 and 30,533,350.80

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Solution

The fourth proportional to 54,978,062.16, 75,867,647.11 and 30,533,350.80 is: 42,134,869.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,978,062.16 : 75,867,647.11 = 30,533,350.80 : x
  2. Step 2: Convert to fraction form
    54,978,062.16/75,867,647.11 = 30,533,350.80/x
  3. Step 3: Cross multiply
    54,978,062.16x = 75,867,647.11 × 30,533,350.80
  4. Step 4: Simplify right side
    54,978,062.16x = 2,316,493,483,580,236
  5. Step 5: Solve for x
    x = 2,316,493,483,580,236/54,978,062.16
  6. Step 6: Final answer
    x = 42,134,869.67

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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.