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Finding the Fourth Proportional to 169,069.68, 232,784.28 and 137,343.60

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Solution

The fourth proportional to 169,069.68, 232,784.28 and 137,343.60 is: 189,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,069.68 : 232,784.28 = 137,343.60 : x
  2. Step 2: Convert to fraction form
    169,069.68/232,784.28 = 137,343.60/x
  3. Step 3: Cross multiply
    169,069.68x = 232,784.28 × 137,343.60
  4. Step 4: Simplify right side
    169,069.68x = 31,971,431,038.61
  5. Step 5: Solve for x
    x = 31,971,431,038.61/169,069.68
  6. Step 6: Final answer
    x = 189,102.10

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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.