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Finding the Fourth Proportional to 208,574.41, 287,830.95 and 117,948.17

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Solution

The fourth proportional to 208,574.41, 287,830.95 and 117,948.17 is: 162,767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,574.41 : 287,830.95 = 117,948.17 : x
  2. Step 2: Convert to fraction form
    208,574.41/287,830.95 = 117,948.17/x
  3. Step 3: Cross multiply
    208,574.41x = 287,830.95 × 117,948.17
  4. Step 4: Simplify right side
    208,574.41x = 33,949,133,821.86
  5. Step 5: Solve for x
    x = 33,949,133,821.86/208,574.41
  6. Step 6: Final answer
    x = 162,767.49

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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.