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Finding the Fourth Proportional to 66,709.66, 92,064.32 and 38,030

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Solution

The fourth proportional to 66,709.66, 92,064.32 and 38,030 is: 52,484.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,709.66 : 92,064.32 = 38,030 : x
  2. Step 2: Convert to fraction form
    66,709.66/92,064.32 = 38,030/x
  3. Step 3: Cross multiply
    66,709.66x = 92,064.32 × 38,030
  4. Step 4: Simplify right side
    66,709.66x = 3,501,206,089.60
  5. Step 5: Solve for x
    x = 3,501,206,089.60/66,709.66
  6. Step 6: Final answer
    x = 52,484.24

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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.