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Finding the Fourth Proportional to 137,485.48, 189,713.10 and 83,750.98

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Solution

The fourth proportional to 137,485.48, 189,713.10 and 83,750.98 is: 115,566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,485.48 : 189,713.10 = 83,750.98 : x
  2. Step 2: Convert to fraction form
    137,485.48/189,713.10 = 83,750.98/x
  3. Step 3: Cross multiply
    137,485.48x = 189,713.10 × 83,750.98
  4. Step 4: Simplify right side
    137,485.48x = 15,888,658,043.84
  5. Step 5: Solve for x
    x = 15,888,658,043.84/137,485.48
  6. Step 6: Final answer
    x = 115,566.08

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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.