Home / 102,205.91-153,314.16-31,123.06

Finding the Fourth Proportional to 102,205.91, 153,314.16 and 31,123.06

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Solution

The fourth proportional to 102,205.91, 153,314.16 and 31,123.06 is: 46,686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,205.91 : 153,314.16 = 31,123.06 : x
  2. Step 2: Convert to fraction form
    102,205.91/153,314.16 = 31,123.06/x
  3. Step 3: Cross multiply
    102,205.91x = 153,314.16 × 31,123.06
  4. Step 4: Simplify right side
    102,205.91x = 4,771,605,033.96
  5. Step 5: Solve for x
    x = 4,771,605,033.96/102,205.91
  6. Step 6: Final answer
    x = 46,686.19

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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.