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Finding the Fourth Proportional to 161,854.87, 242,852.26 and 86,887.47

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Solution

The fourth proportional to 161,854.87, 242,852.26 and 86,887.47 is: 130,368.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,854.87 : 242,852.26 = 86,887.47 : x
  2. Step 2: Convert to fraction form
    161,854.87/242,852.26 = 86,887.47/x
  3. Step 3: Cross multiply
    161,854.87x = 242,852.26 × 86,887.47
  4. Step 4: Simplify right side
    161,854.87x = 21,100,817,240.92
  5. Step 5: Solve for x
    x = 21,100,817,240.92/161,854.87
  6. Step 6: Final answer
    x = 130,368.76

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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.