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Finding the Fourth Proportional to 230,657.16, 318,317.94 and 130,053

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Solution

The fourth proportional to 230,657.16, 318,317.94 and 130,053 is: 179,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,657.16 : 318,317.94 = 130,053 : x
  2. Step 2: Convert to fraction form
    230,657.16/318,317.94 = 130,053/x
  3. Step 3: Cross multiply
    230,657.16x = 318,317.94 × 130,053
  4. Step 4: Simplify right side
    230,657.16x = 41,398,203,050.82
  5. Step 5: Solve for x
    x = 41,398,203,050.82/230,657.16
  6. Step 6: Final answer
    x = 179,479.38

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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.