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Finding the Fourth Proportional to 159,230.31, 219,646.56 and 99,510.63

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Solution

The fourth proportional to 159,230.31, 219,646.56 and 99,510.63 is: 137,267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,230.31 : 219,646.56 = 99,510.63 : x
  2. Step 2: Convert to fraction form
    159,230.31/219,646.56 = 99,510.63/x
  3. Step 3: Cross multiply
    159,230.31x = 219,646.56 × 99,510.63
  4. Step 4: Simplify right side
    159,230.31x = 21,857,167,562.93
  5. Step 5: Solve for x
    x = 21,857,167,562.93/159,230.31
  6. Step 6: Final answer
    x = 137,267.63

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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.