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Finding the Fourth Proportional to 135,137.87, 186,495.53 and 89,737.58

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Solution

The fourth proportional to 135,137.87, 186,495.53 and 89,737.58 is: 123,841.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,137.87 : 186,495.53 = 89,737.58 : x
  2. Step 2: Convert to fraction form
    135,137.87/186,495.53 = 89,737.58/x
  3. Step 3: Cross multiply
    135,137.87x = 186,495.53 × 89,737.58
  4. Step 4: Simplify right side
    135,137.87x = 16,735,657,543.02
  5. Step 5: Solve for x
    x = 16,735,657,543.02/135,137.87
  6. Step 6: Final answer
    x = 123,841.36

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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.