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Finding the Fourth Proportional to 141,938, 195,875.88 and 85,350.32

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Solution

The fourth proportional to 141,938, 195,875.88 and 85,350.32 is: 117,784.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,938 : 195,875.88 = 85,350.32 : x
  2. Step 2: Convert to fraction form
    141,938/195,875.88 = 85,350.32/x
  3. Step 3: Cross multiply
    141,938x = 195,875.88 × 85,350.32
  4. Step 4: Simplify right side
    141,938x = 16,718,069,038.28
  5. Step 5: Solve for x
    x = 16,718,069,038.28/141,938
  6. Step 6: Final answer
    x = 117,784.31

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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.