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Finding the Fourth Proportional to 287,838.76, 431,743.56 and 100,835.68

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Solution

The fourth proportional to 287,838.76, 431,743.56 and 100,835.68 is: 151,248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,838.76 : 431,743.56 = 100,835.68 : x
  2. Step 2: Convert to fraction form
    287,838.76/431,743.56 = 100,835.68/x
  3. Step 3: Cross multiply
    287,838.76x = 431,743.56 × 100,835.68
  4. Step 4: Simplify right side
    287,838.76x = 43,535,155,458.22
  5. Step 5: Solve for x
    x = 43,535,155,458.22/287,838.76
  6. Step 6: Final answer
    x = 151,248.41

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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.