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Finding the Fourth Proportional to 64,804.79, 97,066.53 and 31,454.77

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Solution

The fourth proportional to 64,804.79, 97,066.53 and 31,454.77 is: 47,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,804.79 : 97,066.53 = 31,454.77 : x
  2. Step 2: Convert to fraction form
    64,804.79/97,066.53 = 31,454.77/x
  3. Step 3: Cross multiply
    64,804.79x = 97,066.53 × 31,454.77
  4. Step 4: Simplify right side
    64,804.79x = 3,053,205,375.85
  5. Step 5: Solve for x
    x = 3,053,205,375.85/64,804.79
  6. Step 6: Final answer
    x = 47,113.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.