Home / 102,538.40-153,829.76-31,460.96

Finding the Fourth Proportional to 102,538.40, 153,829.76 and 31,460.96

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Solution

The fourth proportional to 102,538.40, 153,829.76 and 31,460.96 is: 47,198.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,538.40 : 153,829.76 = 31,460.96 : x
  2. Step 2: Convert to fraction form
    102,538.40/153,829.76 = 31,460.96/x
  3. Step 3: Cross multiply
    102,538.40x = 153,829.76 × 31,460.96
  4. Step 4: Simplify right side
    102,538.40x = 4,839,631,926.17
  5. Step 5: Solve for x
    x = 4,839,631,926.17/102,538.40
  6. Step 6: Final answer
    x = 47,198.24

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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.