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Finding the Fourth Proportional to 157,043.80, 216,741.90 and 106,759

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Solution

The fourth proportional to 157,043.80, 216,741.90 and 106,759 is: 147,342.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,043.80 : 216,741.90 = 106,759 : x
  2. Step 2: Convert to fraction form
    157,043.80/216,741.90 = 106,759/x
  3. Step 3: Cross multiply
    157,043.80x = 216,741.90 × 106,759
  4. Step 4: Simplify right side
    157,043.80x = 23,139,148,502.10
  5. Step 5: Solve for x
    x = 23,139,148,502.10/157,043.80
  6. Step 6: Final answer
    x = 147,342.01

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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.