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Finding the Fourth Proportional to 208,153.68, 287,259.03 and 127,565.63

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Solution

The fourth proportional to 208,153.68, 287,259.03 and 127,565.63 is: 176,044.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,153.68 : 287,259.03 = 127,565.63 : x
  2. Step 2: Convert to fraction form
    208,153.68/287,259.03 = 127,565.63/x
  3. Step 3: Cross multiply
    208,153.68x = 287,259.03 × 127,565.63
  4. Step 4: Simplify right side
    208,153.68x = 36,644,380,172.20
  5. Step 5: Solve for x
    x = 36,644,380,172.20/208,153.68
  6. Step 6: Final answer
    x = 176,044.83

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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.