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Finding the Fourth Proportional to 137,442.49, 189,643.51 and 86,425.58

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Solution

The fourth proportional to 137,442.49, 189,643.51 and 86,425.58 is: 119,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,442.49 : 189,643.51 = 86,425.58 : x
  2. Step 2: Convert to fraction form
    137,442.49/189,643.51 = 86,425.58/x
  3. Step 3: Cross multiply
    137,442.49x = 189,643.51 × 86,425.58
  4. Step 4: Simplify right side
    137,442.49x = 16,390,050,927.13
  5. Step 5: Solve for x
    x = 16,390,050,927.13/137,442.49
  6. Step 6: Final answer
    x = 119,250.25

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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.