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Finding the Fourth Proportional to 287,159.76, 430,800.98 and 87,496.07

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Solution

The fourth proportional to 287,159.76, 430,800.98 and 87,496.07 is: 131,262.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,159.76 : 430,800.98 = 87,496.07 : x
  2. Step 2: Convert to fraction form
    287,159.76/430,800.98 = 87,496.07/x
  3. Step 3: Cross multiply
    287,159.76x = 430,800.98 × 87,496.07
  4. Step 4: Simplify right side
    287,159.76x = 37,693,390,110.66
  5. Step 5: Solve for x
    x = 37,693,390,110.66/287,159.76
  6. Step 6: Final answer
    x = 131,262.79

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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.