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Finding the Fourth Proportional to 64,854, 97,155.12 and 42,599.85

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Solution

The fourth proportional to 64,854, 97,155.12 and 42,599.85 is: 63,817.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,854 : 97,155.12 = 42,599.85 : x
  2. Step 2: Convert to fraction form
    64,854/97,155.12 = 42,599.85/x
  3. Step 3: Cross multiply
    64,854x = 97,155.12 × 42,599.85
  4. Step 4: Simplify right side
    64,854x = 4,138,793,538.73
  5. Step 5: Solve for x
    x = 4,138,793,538.73/64,854
  6. Step 6: Final answer
    x = 63,817.09

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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.