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Finding the Fourth Proportional to 459,851.52, 689,881.10 and 140,032

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Solution

The fourth proportional to 459,851.52, 689,881.10 and 140,032 is: 210,079.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,851.52 : 689,881.10 = 140,032 : x
  2. Step 2: Convert to fraction form
    459,851.52/689,881.10 = 140,032/x
  3. Step 3: Cross multiply
    459,851.52x = 689,881.10 × 140,032
  4. Step 4: Simplify right side
    459,851.52x = 96,605,430,195.20
  5. Step 5: Solve for x
    x = 96,605,430,195.20/459,851.52
  6. Step 6: Final answer
    x = 210,079.61

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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.