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Finding the Fourth Proportional to 138,227.15, 190,753.80 and 77,798.67

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Solution

The fourth proportional to 138,227.15, 190,753.80 and 77,798.67 is: 107,362.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,227.15 : 190,753.80 = 77,798.67 : x
  2. Step 2: Convert to fraction form
    138,227.15/190,753.80 = 77,798.67/x
  3. Step 3: Cross multiply
    138,227.15x = 190,753.80 × 77,798.67
  4. Step 4: Simplify right side
    138,227.15x = 14,840,391,937.45
  5. Step 5: Solve for x
    x = 14,840,391,937.45/138,227.15
  6. Step 6: Final answer
    x = 107,362.35

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1.5x scale

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.