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Finding the Fourth Proportional to 161,543.80, 242,364.30 and 86,699.80

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Solution

The fourth proportional to 161,543.80, 242,364.30 and 86,699.80 is: 130,075.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,543.80 : 242,364.30 = 86,699.80 : x
  2. Step 2: Convert to fraction form
    161,543.80/242,364.30 = 86,699.80/x
  3. Step 3: Cross multiply
    161,543.80x = 242,364.30 × 86,699.80
  4. Step 4: Simplify right side
    161,543.80x = 21,012,936,337.14
  5. Step 5: Solve for x
    x = 21,012,936,337.14/161,543.80
  6. Step 6: Final answer
    x = 130,075.78

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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.