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Finding the Fourth Proportional to 190,542.78, 285,814.27 and 48,398.72

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Solution

The fourth proportional to 190,542.78, 285,814.27 and 48,398.72 is: 72,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,542.78 : 285,814.27 = 48,398.72 : x
  2. Step 2: Convert to fraction form
    190,542.78/285,814.27 = 48,398.72/x
  3. Step 3: Cross multiply
    190,542.78x = 285,814.27 × 48,398.72
  4. Step 4: Simplify right side
    190,542.78x = 13,833,043,457.16
  5. Step 5: Solve for x
    x = 13,833,043,457.16/190,542.78
  6. Step 6: Final answer
    x = 72,598.10

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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.