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Finding the Fourth Proportional to 103,641.48, 155,476.80 and 51,051.42

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Solution

The fourth proportional to 103,641.48, 155,476.80 and 51,051.42 is: 76,584.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,641.48 : 155,476.80 = 51,051.42 : x
  2. Step 2: Convert to fraction form
    103,641.48/155,476.80 = 51,051.42/x
  3. Step 3: Cross multiply
    103,641.48x = 155,476.80 × 51,051.42
  4. Step 4: Simplify right side
    103,641.48x = 7,937,311,417.06
  5. Step 5: Solve for x
    x = 7,937,311,417.06/103,641.48
  6. Step 6: Final answer
    x = 76,584.31

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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.