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Finding the Fourth Proportional to 137,319, 189,503.16 and 77,703

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Solution

The fourth proportional to 137,319, 189,503.16 and 77,703 is: 107,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,319 : 189,503.16 = 77,703 : x
  2. Step 2: Convert to fraction form
    137,319/189,503.16 = 77,703/x
  3. Step 3: Cross multiply
    137,319x = 189,503.16 × 77,703
  4. Step 4: Simplify right side
    137,319x = 14,724,964,041.48
  5. Step 5: Solve for x
    x = 14,724,964,041.48/137,319
  6. Step 6: Final answer
    x = 107,231.80

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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.