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Finding the Fourth Proportional to 285,825.72, 428,738.58 and 98,735.16

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Solution

The fourth proportional to 285,825.72, 428,738.58 and 98,735.16 is: 148,102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,825.72 : 428,738.58 = 98,735.16 : x
  2. Step 2: Convert to fraction form
    285,825.72/428,738.58 = 98,735.16/x
  3. Step 3: Cross multiply
    285,825.72x = 428,738.58 × 98,735.16
  4. Step 4: Simplify right side
    285,825.72x = 42,331,572,294.47
  5. Step 5: Solve for x
    x = 42,331,572,294.47/285,825.72
  6. Step 6: Final answer
    x = 148,102.74

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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.