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Finding the Fourth Proportional to 208,473.73, 287,792.94 and 139,681.66

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Solution

The fourth proportional to 208,473.73, 287,792.94 and 139,681.66 is: 192,827.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,473.73 : 287,792.94 = 139,681.66 : x
  2. Step 2: Convert to fraction form
    208,473.73/287,792.94 = 139,681.66/x
  3. Step 3: Cross multiply
    208,473.73x = 287,792.94 × 139,681.66
  4. Step 4: Simplify right side
    208,473.73x = 40,199,395,595.48
  5. Step 5: Solve for x
    x = 40,199,395,595.48/208,473.73
  6. Step 6: Final answer
    x = 192,827.15

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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.