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Finding the Fourth Proportional to 103,140.80, 154,718.40 and 40,803.20

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Solution

The fourth proportional to 103,140.80, 154,718.40 and 40,803.20 is: 61,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,140.80 : 154,718.40 = 40,803.20 : x
  2. Step 2: Convert to fraction form
    103,140.80/154,718.40 = 40,803.20/x
  3. Step 3: Cross multiply
    103,140.80x = 154,718.40 × 40,803.20
  4. Step 4: Simplify right side
    103,140.80x = 6,313,005,818.88
  5. Step 5: Solve for x
    x = 6,313,005,818.88/103,140.80
  6. Step 6: Final answer
    x = 61,207.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.