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Finding the Fourth Proportional to 98,306.60, 147,431.10 and 45,703.40

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Solution

The fourth proportional to 98,306.60, 147,431.10 and 45,703.40 is: 68,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,306.60 : 147,431.10 = 45,703.40 : x
  2. Step 2: Convert to fraction form
    98,306.60/147,431.10 = 45,703.40/x
  3. Step 3: Cross multiply
    98,306.60x = 147,431.10 × 45,703.40
  4. Step 4: Simplify right side
    98,306.60x = 6,738,102,535.74
  5. Step 5: Solve for x
    x = 6,738,102,535.74/98,306.60
  6. Step 6: Final answer
    x = 68,541.71

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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.