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Finding the Fourth Proportional to 210,622.88, 315,983.72 and 144,094.32

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Solution

The fourth proportional to 210,622.88, 315,983.72 and 144,094.32 is: 216,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,622.88 : 315,983.72 = 144,094.32 : x
  2. Step 2: Convert to fraction form
    210,622.88/315,983.72 = 144,094.32/x
  3. Step 3: Cross multiply
    210,622.88x = 315,983.72 × 144,094.32
  4. Step 4: Simplify right side
    210,622.88x = 45,531,459,264.47
  5. Step 5: Solve for x
    x = 45,531,459,264.47/210,622.88
  6. Step 6: Final answer
    x = 216,175.28

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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.