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Finding the Fourth Proportional to 42,688, 64,037.11 and 13,101.96

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Solution

The fourth proportional to 42,688, 64,037.11 and 13,101.96 is: 19,654.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,688 : 64,037.11 = 13,101.96 : x
  2. Step 2: Convert to fraction form
    42,688/64,037.11 = 13,101.96/x
  3. Step 3: Cross multiply
    42,688x = 64,037.11 × 13,101.96
  4. Step 4: Simplify right side
    42,688x = 839,011,653.74
  5. Step 5: Solve for x
    x = 839,011,653.74/42,688
  6. Step 6: Final answer
    x = 19,654.51

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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.