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Finding the Fourth Proportional to 287,710.70, 431,566.05 and 100,741.10

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Solution

The fourth proportional to 287,710.70, 431,566.05 and 100,741.10 is: 151,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,710.70 : 431,566.05 = 100,741.10 : x
  2. Step 2: Convert to fraction form
    287,710.70/431,566.05 = 100,741.10/x
  3. Step 3: Cross multiply
    287,710.70x = 431,566.05 × 100,741.10
  4. Step 4: Simplify right side
    287,710.70x = 43,476,438,599.66
  5. Step 5: Solve for x
    x = 43,476,438,599.66/287,710.70
  6. Step 6: Final answer
    x = 151,111.65

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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.