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Finding the Fourth Proportional to 150,510.88, 207,714.36 and 83,442.88

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Solution

The fourth proportional to 150,510.88, 207,714.36 and 83,442.88 is: 115,156.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,510.88 : 207,714.36 = 83,442.88 : x
  2. Step 2: Convert to fraction form
    150,510.88/207,714.36 = 83,442.88/x
  3. Step 3: Cross multiply
    150,510.88x = 207,714.36 × 83,442.88
  4. Step 4: Simplify right side
    150,510.88x = 17,332,284,415.76
  5. Step 5: Solve for x
    x = 17,332,284,415.76/150,510.88
  6. Step 6: Final answer
    x = 115,156.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.