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Finding the Fourth Proportional to 285,064.56, 427,592.36 and 98,077.68

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Solution

The fourth proportional to 285,064.56, 427,592.36 and 98,077.68 is: 147,114.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,064.56 : 427,592.36 = 98,077.68 : x
  2. Step 2: Convert to fraction form
    285,064.56/427,592.36 = 98,077.68/x
  3. Step 3: Cross multiply
    285,064.56x = 427,592.36 × 98,077.68
  4. Step 4: Simplify right side
    285,064.56x = 41,937,266,654.52
  5. Step 5: Solve for x
    x = 41,937,266,654.52/285,064.56
  6. Step 6: Final answer
    x = 147,114.98

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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.