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Finding the Fourth Proportional to 238,041.64, 328,495.62 and 137,495.08

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Solution

The fourth proportional to 238,041.64, 328,495.62 and 137,495.08 is: 189,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,041.64 : 328,495.62 = 137,495.08 : x
  2. Step 2: Convert to fraction form
    238,041.64/328,495.62 = 137,495.08/x
  3. Step 3: Cross multiply
    238,041.64x = 328,495.62 × 137,495.08
  4. Step 4: Simplify right side
    238,041.64x = 45,166,531,551.55
  5. Step 5: Solve for x
    x = 45,166,531,551.55/238,041.64
  6. Step 6: Final answer
    x = 189,742.15

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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.