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Finding the Fourth Proportional to 152,322.28, 210,204.72 and 85,254.28

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Solution

The fourth proportional to 152,322.28, 210,204.72 and 85,254.28 is: 117,650.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,322.28 : 210,204.72 = 85,254.28 : x
  2. Step 2: Convert to fraction form
    152,322.28/210,204.72 = 85,254.28/x
  3. Step 3: Cross multiply
    152,322.28x = 210,204.72 × 85,254.28
  4. Step 4: Simplify right side
    152,322.28x = 17,920,852,056.20
  5. Step 5: Solve for x
    x = 17,920,852,056.20/152,322.28
  6. Step 6: Final answer
    x = 117,650.89

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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.