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Finding the Fourth Proportional to 208,666.14, 287,914.95 and 123,810.78

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Solution

The fourth proportional to 208,666.14, 287,914.95 and 123,810.78 is: 170,832.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,666.14 : 287,914.95 = 123,810.78 : x
  2. Step 2: Convert to fraction form
    208,666.14/287,914.95 = 123,810.78/x
  3. Step 3: Cross multiply
    208,666.14x = 287,914.95 × 123,810.78
  4. Step 4: Simplify right side
    208,666.14x = 35,646,974,533.16
  5. Step 5: Solve for x
    x = 35,646,974,533.16/208,666.14
  6. Step 6: Final answer
    x = 170,832.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.