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Finding the Fourth Proportional to 161,907.93, 242,931.68 and 86,940.40

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Solution

The fourth proportional to 161,907.93, 242,931.68 and 86,940.40 is: 130,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,907.93 : 242,931.68 = 86,940.40 : x
  2. Step 2: Convert to fraction form
    161,907.93/242,931.68 = 86,940.40/x
  3. Step 3: Cross multiply
    161,907.93x = 242,931.68 × 86,940.40
  4. Step 4: Simplify right side
    161,907.93x = 21,120,577,431.87
  5. Step 5: Solve for x
    x = 21,120,577,431.87/161,907.93
  6. Step 6: Final answer
    x = 130,448.07

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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.