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Finding the Fourth Proportional to 208,415.32, 287,678.54 and 132,963.76

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Solution

The fourth proportional to 208,415.32, 287,678.54 and 132,963.76 is: 183,531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,415.32 : 287,678.54 = 132,963.76 : x
  2. Step 2: Convert to fraction form
    208,415.32/287,678.54 = 132,963.76/x
  3. Step 3: Cross multiply
    208,415.32x = 287,678.54 × 132,963.76
  4. Step 4: Simplify right side
    208,415.32x = 38,250,820,349.71
  5. Step 5: Solve for x
    x = 38,250,820,349.71/208,415.32
  6. Step 6: Final answer
    x = 183,531.71

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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.