Home / 102,200.06-153,323.16-31,129.06

Finding the Fourth Proportional to 102,200.06, 153,323.16 and 31,129.06

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Solution

The fourth proportional to 102,200.06, 153,323.16 and 31,129.06 is: 46,700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,200.06 : 153,323.16 = 31,129.06 : x
  2. Step 2: Convert to fraction form
    102,200.06/153,323.16 = 31,129.06/x
  3. Step 3: Cross multiply
    102,200.06x = 153,323.16 × 31,129.06
  4. Step 4: Simplify right side
    102,200.06x = 4,772,805,847.03
  5. Step 5: Solve for x
    x = 4,772,805,847.03/102,200.06
  6. Step 6: Final answer
    x = 46,700.62

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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.