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Finding the Fourth Proportional to 281,137.64, 387,979.26 and 153,813.30

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Solution

The fourth proportional to 281,137.64, 387,979.26 and 153,813.30 is: 212,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,137.64 : 387,979.26 = 153,813.30 : x
  2. Step 2: Convert to fraction form
    281,137.64/387,979.26 = 153,813.30/x
  3. Step 3: Cross multiply
    281,137.64x = 387,979.26 × 153,813.30
  4. Step 4: Simplify right side
    281,137.64x = 59,676,370,312.16
  5. Step 5: Solve for x
    x = 59,676,370,312.16/281,137.64
  6. Step 6: Final answer
    x = 212,267.45

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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.