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Finding the Fourth Proportional to 98,245.79, 147,368.67 and 31,685.91

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Solution

The fourth proportional to 98,245.79, 147,368.67 and 31,685.91 is: 47,528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,245.79 : 147,368.67 = 31,685.91 : x
  2. Step 2: Convert to fraction form
    98,245.79/147,368.67 = 31,685.91/x
  3. Step 3: Cross multiply
    98,245.79x = 147,368.67 × 31,685.91
  4. Step 4: Simplify right side
    98,245.79x = 4,669,510,157.46
  5. Step 5: Solve for x
    x = 4,669,510,157.46/98,245.79
  6. Step 6: Final answer
    x = 47,528.86

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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.