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Finding the Fourth Proportional to 287,808.48, 431,713.76 and 88,128.05

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Solution

The fourth proportional to 287,808.48, 431,713.76 and 88,128.05 is: 132,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,808.48 : 431,713.76 = 88,128.05 : x
  2. Step 2: Convert to fraction form
    287,808.48/431,713.76 = 88,128.05/x
  3. Step 3: Cross multiply
    287,808.48x = 431,713.76 × 88,128.05
  4. Step 4: Simplify right side
    287,808.48x = 38,046,089,227.76
  5. Step 5: Solve for x
    x = 38,046,089,227.76/287,808.48
  6. Step 6: Final answer
    x = 132,192.38

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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.