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Finding the Fourth Proportional to 208,510.68, 287,737.74 and 123,577.32

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Solution

The fourth proportional to 208,510.68, 287,737.74 and 123,577.32 is: 170,532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,510.68 : 287,737.74 = 123,577.32 : x
  2. Step 2: Convert to fraction form
    208,510.68/287,737.74 = 123,577.32/x
  3. Step 3: Cross multiply
    208,510.68x = 287,737.74 × 123,577.32
  4. Step 4: Simplify right side
    208,510.68x = 35,557,858,772.06
  5. Step 5: Solve for x
    x = 35,557,858,772.06/208,510.68
  6. Step 6: Final answer
    x = 170,532.55

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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.