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Finding the Fourth Proportional to 139,531.94, 209,293.16 and 60,646.17

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Solution

The fourth proportional to 139,531.94, 209,293.16 and 60,646.17 is: 90,967.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,531.94 : 209,293.16 = 60,646.17 : x
  2. Step 2: Convert to fraction form
    139,531.94/209,293.16 = 60,646.17/x
  3. Step 3: Cross multiply
    139,531.94x = 209,293.16 × 60,646.17
  4. Step 4: Simplify right side
    139,531.94x = 12,692,828,257.97
  5. Step 5: Solve for x
    x = 12,692,828,257.97/139,531.94
  6. Step 6: Final answer
    x = 90,967.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.